This is a classroom blog hub for Grade 8 students at Sargent Park School.

Wednesday, November 10, 2010

Math Scavenger Hunt Station 3

What do you know about Right Triangles??? Answer the following and see what you understand about right triangles. For question 14 add in the comments one triangle you have created that is a right triangle and one that is not a right triangle.

Question 12: a)My estimation of the side length of the rug is 3.3m

b) The approximation on the calculator is 3.31662479

c) The rug will fit because the side length of the rug is approximately 3.3m and the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Triangle A: a2+b2=c2 (c2= 15cm2 15cm2=225cm2) 9cm2+12cm2=c2 (9cmx9cm)+(12cmx12cm)=c2 81cm2+144cm2=225cm2 225cm2=225cm2 It is a right triangle.

Triangle B: a2+b2=c2 (c2= 11cm2 11cm2=121cm2) 7cm2+8cm2=c2 (7cmx7cm)+(8cmx8cm)=c2 49cm2+64cm2=113cm2 121cm2 does not equal 113cm2 so it is not a right triangle.

Triangle C: a2+b2=c2 (c2= 25cm2 25cm2=625cm2) 7cm2+24cm2=c2 (7cmx7cm)+(24cmx24cm)=c2 49cm2+576cm2=625cm2 625cm2=625cm2 It is a right triangle.

Triangle D: a2+b2=c2 (c2= 34cm2 34cm2=1156cm2) 16cm2+30cm2=c2 (16cmx16cm)+(30cmx30cm)=c2 256cm2+900cm2=1156cm2 1156cm2=1156cm2 It is a right triangle.

Triangle E: a2+b2=c2 (c2= 14cm2 14cm2=196cm2) 10cm2+11cm2=c2 (10cmx10cm)+(11cmx11cm)=c2 100cm2+121cm2=221cm2 196cm2 does not equal 221cm2 so it is not a right triangle.

c) Yes the rug will fit because 4mx5m= 20m² and the area of the rug is 11 m²

#14 a) a²+b²=c² 9²+12²=15² 81cm+144cm=225cm 225cm=225cm it is a right triangle b) a²+b²=c² 7²+8²=11² 49cm+64cm=121cm 113cm≠121cm not a right triangle c) a²+b²=c² 7²+24²=25² 49cm+576cm=625cm 625cm=625cm it is a right triangle d) a²+b²=c² 16²+30²=34² 256cm+144cm=1 156cm 1 156cm=1 156 cm it is a right triangle e) a²+b²=c² 10²+11²=14² 100cm+121cm=196cm 221cm≠196cm not a right triangle

c)The rug will fit since the side length (3.3m) is less than the side length of the shorter part of the wall. Also the area of the rug is 11m2 and the area of the room is 20m2.

Question 14:

Triangle A is a right triangle: a2+b2=c2 (9x9)+(12x12)=(15x15) 81cm2+144cm2=225cm2 225cm2=225cm2

Triangle B is not a right triangle : a2+b2=c2 (7x7)+(8x8)=(11x11) 49cm2+64cm2=113cm2 113cm2≠121cm2

Question 12: a)My estimation on the side length is 3.3m² because the 2 perfect squares near 11 is 9 and 16. (3x3) and (4x4) and I chose a number in between 3 and 4. b)The side length is 3.31m². c)Yes, it will fit because 3.31m² is smaller than the area of his bedroom.

Question 14: A; a² + b² = c² 9² + 12² = 15² (9x9) + (12x12) = (15x15) 81cm + 144cm = 225cm 225cm² = 225cm² It is a right triangle.

B; a² + b² = c² 7² + 8² = 11² (7x7) + (8x8) = (11x11) 49cm + 64cm = 121cm 113cm² = 121cm² It is not a right triangle.

C; a² + b² = c² 7² + 24² = 25² (7x7) + (24x24) = (25x25) 49cm + 576cm = 625cm 625cm² = 625cm² It is a right triangle.

D; a² + b² = c² 16² + 30² = 34² (16x16) + (30x30) = (34x34) 256cm + 900cm = 1156cm 1156cm² = 1156cm² It is a right triangle.

E; a² + b² = c² 10² + 11² = 14² (10x10) + (11x11) = (14x14) 100cm + 121cm = 196cm 221cm² = 196cm² It is not a right triangle.

a)I estimated that the side length for the rug is 3.3m.

b)The calculation for the side length is approximatively 3.31m

c)The rug will fit in the room because the side length of the rug is smaller than both of the side lengths for the room.

Question 14- a) area=a2+b2=c2 area=9squared+12squared=15squared area=(9x9)+(12x12)=(15x15) area=81cm2+144cm2=225cm2 225cm2=225cm2 It is a perfect square.

b) area=a2+b2=c2 area=7squared+8squared=11squared area=(7x7)+(8x8)=(11x11) area=49cm2+64cm2=121cm2 113cm2 does not equal 121cm2 It is not a prefect square

c) area=a2+b2=c2 area=7squared+24squared=25squared area=(7x7)+(24x24)=(25x25) area=49cm2+576cm2=625cm2 625cm2=625cm2 It is a perfect square.

d) area=a2+b2=c2 area=16squared+30squared=34squared area=(16x16)+(30x30)=(34x34) area=256cm2+900cm2=1156cm2 1156cm2=1156cm2 It is a perfect square.

e) area=a2+b2=c2 area=10squared+11squared=14squared area=(10x10)+(11x11)=(14x14) area=100cm2+121cm2=196cm2 221cm2 does not equal 196cm2 It is not a perfect square.

12. A.my estimation is 3.3 B.The calculator says the side length is 3.31 C.It will fit because the area of the rug is 11m2 and the room is 20m2.

13. A. a2+b2=c2 9 2+12 2=15 2 (9x9)+(12x12)=(15x15) 81+144=225 Yes it is a right triangle. B. a2+b2=c2 7 2+8 2=11 2 (7x7)+(8x8)=(11x11) 49+64=113 113 does not equal 121 No it is not a right triangle. C. a2+b2=c2 7 2+24 2=25 2 (7x7)+(24x24)=(25x25) 49+576=625 Yes it is a right triangle. D. a2+b2=c2 16 2+30 2=34 2 (16x16)+(30x30)=(34x34) 256+900=1156 Yes it is a right triangle. E. a2+b2=c2 10 2+11 2=14 2 (10x10)+(11x11)=(14x14) 100+121=221 221 does not equal 196 No it is not a right triangle.

A)I estimate the side length will be 3.3 m² because the perfect squares near 11 is 9 (3 x 3) and 16 (4 x 4). Since 11 is closer to 9 the side length is likely to be around 3.

B)The sidelength on a calculator is 3.31

C)Yes the rug will fit because the area of the rug is 11 m² and it is smaller than the area of the room.

Question 14:

Triangle A-

a² + b² = c² 9 cm² + 12 cm² = 15² 81cm² + 144cm² = 225cm² 225cm² = 225cm² It is a right triangle

Triangle B-

a² + b² = c² 7² + 8² = 11² 49cm² + 64cm² = 121cm² 113cm² does not equal 121cm² It is not a right triangle

Triangle C-

a² + b² = c² 7² + 24² = 25² 49cm² + 576cm² = 625cm² 625cm² = 625cm² It is a right triangle

Triangle D-

a² + b² = c² 16² + 30² = 34² 256cm² + 900cm² = 1156cm² 1156cm² = 1156cm² It is a right triangle

a)I estimated that the side length for the rug is 3.3m.

b)The calculation for the side length is approximatively 3.31m

c)The rug will fit in the room because the side length of the rug is smaller than both of the side lengths for the room.

Question 14- a) area=a2+b2=c2 area=9squared+12squared=15squared area=(9x9)+(12x12)=(15x15) area=81cm2+144cm2=225cm2 225cm2=225cm2 It is a perfect square.

b) area=a2+b2=c2 area=7squared+8squared=11squared area=(7x7)+(8x8)=(11x11) area=49cm2+64cm2=121cm2 113cm2 does not equal 121cm2 It is not a prefect square

c) area=a2+b2=c2 area=7squared+24squared=25squared area=(7x7)+(24x24)=(25x25) area=49cm2+576cm2=625cm2 625cm2=625cm2 It is a perfect square.

d) area=a2+b2=c2 area=16squared+30squared=34squared area=(16x16)+(30x30)=(34x34) area=256cm2+900cm2=1156cm2 1156cm2=1156cm2 It is a perfect square.

e) area=a2+b2=c2 area=10squared+11squared=14squared area=(10x10)+(11x11)=(14x14) area=100cm2+121cm2=196cm2 221cm2 does not equal 196cm2 It is not a perfect square.

12. a) my estimation is 3.2 b)calculator: 3.31 c)yes the rug will fit. The side length of the rug is approximately 3.3m. the bedroom side is 4m x 5m.

14. triangle: A: a2+b2=c2 12cm2+9cm2=15cm2 144+81=225 225cm2=225cm2 this is a right triangle. B: a2+b2=c2 7cm2+8cm2=11cm2 49+64=121 (does not equal 121) this is not a right triangle. C: a2+b2=c2 7cm2+24cm2=25cm2 49+576=626 (does not equal 626) this is not a right triangle D: a2+b2=c2 16cm2+30cm2=34cm2 256+900=1156 this is a right triangle E: a2+b2=c2 10cm2+11cm2=14cm2 100+121=196 (does not equal 196) this is not a right triangle

Station 3: Triangle A: a²+b²=c² 9cm²+12cm²=225cm² OR (9x9)+(12x12)=225 81+144=225 225cm²=255cm² This is a right triangle Triangle B: a²+b²=c² 7cm²+8cm²=11cm² OR (7x7)+(8x8)=(11x11) 49+64+121 113=121 This is not a right triangle Triangle C: a²+b²=c² 7cm²+24cm²=25cm² OR (7x7)+(24x24)=(25x25) 49+576+625 625=625 This is a right triangle Triangle D: a²+b²=c² 16cm²+30cm²=34cm² OR (16x16)+(30x30)=(34x34) 256+900=1156 1156=1156 This is a right triangle Triangle E: a²+b²=c² 10cm²+11cm²=14cm² OR (10x10)+(11x11)=(14x14) 100+121=196 221=196 This is not a right triangle

#12 a)√11=3.2 I got 3.2 because 11 is between 9 and 16.Their square roots are 3 and 4. That means the square root is between those 2 digits. Since it's closer to 9, it must be 3.*, I got the .2 because in the numberline 11 is the second number from 9.

b)√11= 3.31

c)The rug will fit because the area of of is bedroom is 20m² and the area of the rug is only 11m² .That means the rug is smaller than the bedroom which is why the rug can fit.

#14 a) a²+b²=c² 9²+12²=15² 81cm+144cm=225cm 225cm=225cm a right triangle

b) a²+b²=c² 7²+8²=11² 49cm+64cm=121cm 113cm≠121cm not a right triangle

c) a²+b²=c² 7²+24²=25² 49cm+576cm=625cm 625cm=625cm a right triangle

d) a²+b²=c² 16²+30²=34² 256cm+144cm=1 156cm 1 156cm=1 156 cm a right triangle

e) a²+b²=c² 10²+11²=14² 100cm+121cm=196cm 221cm≠196cm not a right triangle

12. a) My estimation of the rug's side length was 3.3m. b) √11= 3.31662479 c) Yes, the rug will fit because 3.3m is smaller than the shortest side of the room.

14. A: a²+b²=c² 9cm²+12cm²=15cm² (9x9)+(12x12)=(15x15) 81cm²+144cm²=225cm² 225cm²=225cm² It is a right triangle.

B: a²+b²=c² 7cm²+8cm²=11cm² (7x7)+(8x8)=(11x11) 49cm²+64cm²=113cm² 113cm²≠121cm² It is not a right triangle.

C: a²+b²=c² 7cm²+24cm²=25cm² (7x7)+(24x24)=(25x25) 49cm²+576cm²=625cm² 625cm²=625cm² It is a right triangle.

D: a²+b²=c² 16cm²+30cm²=34cm² (16x16)+(30x30)=(34x34) 256cm²+900cm²=1156cm² 1156cm²=1156cm² It is a right triangle.

E: a²+b²=c² 10cm²+11cm²=14cm² (10x10)+(11x11)=(14x14) 100cm²+121cm²=221cm² 221cm²≠196cm² It is not a right triangle.

9 is closer to 11. But in this question, they're looking for side length. Since the side length of 9 is 3, we'll use 3 for our whole number. 3. ___ Now, we just need to find out one decimal to replace the blank. To find the answer to that, count the intervals between 9 and 11. 11 - 9 = 2

The estimated answer will be,3.2 m

b.) By using my calculator, I multiplied 3.2 by itself to check it. 3.2 x 3.2 = 10.24

c.) Yes, the rug will fit because the sides of the rug is smaller than the size of his room.

QUESTION 14: TRIANGLE A a² + b² = c² 9² + 12² = 15² (9x9) + (12x12) = 15x15 81 cm² + 144 cm² = 225 cm² 225 cm² = 225 cm² This IS a right triangle.

TRIANGLE B a² + b² = c² 7² + 8² = 11² (7x7) + (8x8) = 11x11 49 cm² + 64 cm² = 121 cm² 113 cm² ≠ 121 cm² This IS NOT a right triangle.

TRIANGLE C a² + b² = c² 7² + 24² = 25² (7x7) + (24x24) = 25x25 49 cm² + 576 cm² = 625 cm² 625 cm² = 625 cm² This IS a right triangle.

TRIANGLE D a² + b² = c² 16² + 30² = 34² (16x16) + (30x30) = 34x34 206 cm² + 900 cm² = 1156 cm² 1156 cm² = 1156 cm² This IS a right triangle.

TRIANGLE E a² + b² = c² 10² + 11² = 14² (10x10) + (11x11) = 14x14 100 cm² + 121 cm² = 196 cm² 221 cm² ≠ 196 cm² This IS NOT a right triangle.

Number 12 a) estimate- 3.3 cm b) calculator- 3.31 cm c) It will fit, because the side lengths of the rug do not surpass the walls of his room. As for the furniture...

Number 14 Triangle A a²+b²=c² 9²+12²=15² (9x9)+(12x12)=(15x15) 81+144=225 225=225 It is a right triangle.

Triangle B a²+b²=c² 7²+8²=11² (7x7)+(8x8)=(11x11) 49+64=121 113 is not equal to 121. It is not a right triangle.

Triangle C a²+b²=c 7²+24²=25² (7x7)+(24x24)=(25x25) 49+576=625 625=625 It is a right triangle.

Triangle D a²+b²=c² 16²+30²=34² (16x16)+(30x30)=(34x34) 256+900=1156 1156=1156 It is a right triangle.

Triangle E a²+b²=c² 10²+11²=14² (10x10)+(11x11)=(14x14) 100+121=196 221 is not equal to 196 It is not a right triangle.

Triangle α a²+b²=c² 4²+3²=5² (4x4)+(3x3)=(5x5) 16+9=25 25=25 It is a right triangle.

Triangle Ω a²+b²=c² 2²+3²=4² (2x2)+(3x3)=(4x4) 4+9=16 13 is not equal to 16 It is not a right triangle.

Question 12: A)My estimation on the side length is 3.3m because the 2 perfect squares close to 11 is 9 and 16. (3x3=9) and (4x4=16). I estimated a number in between those 2 numbers and came up with 3.3m.

B)The calculator shows 3.31662479

C)Yes the carpet will fit because the side length of the rug is approximately 3.3m and so the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Question 14: A)9x9=81 12x12=144 15x15=225 81+144 225 225cm2=225cm2 This is a right triangle.

B)7x7=49 8x8=64 11x11=121 49+64=113 113cm=/121cm This is not a right triangle.

C)7x7=49 24x24=576 25x25=625 49+576=645 645cm=/625cm This is not a right triangle.

D)16x16=256 30x30=900 34x34=1156 256+900=1156 1156cm=1156cm This is a right triangle.

E)10x10=100 11x11=121 14x14=196 100+121=221 221cm=/196cm This is not a right triangle.

Question 12 . a) I estimated it was 3.3 because 3²= 9 & 4²=16, 11 is closer to 9, therefore it will be 3.3 . b) Using a calculator, the square root of 11 is 3.31, so 3.31 is the side length. c) Yes, the carpet will fit because the area of the carpet is smaller than the area of the room. (area of carpet is 11m² & the area of the room is 20m²)

Question 14 . A: a² + b² = c² 9² + 12² = 15² (9x9) + (12x12) = (15x15) 81cm + 144cm = 225cm 225cm² = 225cm² It is a right triangle.

B: a² + b² = c² 7² + 8² = 11² (7x7) + (8x8) = (11x11) 49cm + 64cm = 121cm 113cm² = 121cm² It is not a right triangle.

C: a² + b² = c² 7² + 24² = 25² (7x7) + (24x24) = (25x25) 49cm + 576cm = 625cm 625cm² = 625cm² It is a right triangle.

D: a² + b² = c² 16² + 30² = 34² (16x16) + (30x30) = (34x34) 256cm + 900cm = 1156cm 1156cm² = 1156cm² It is a right triangle.

E: a² + b² = c² 10² + 11² = 14² (10x10) + (11x11) = (14x14) 100cm + 121cm = 196cm 221cm² = 196cm² It is not a right triangle.

Question 12: a) 3.3m² because the 2 perfect squares that are closest to eleven are 9 and 16. b)The side length is 3.31m². c)Yes, the rug will fit because 3.31m² is smaller than the area of his bedroom.(20m²)

Question 12: a)My estimation of the side length of the rug is 3.3m

b) The approximation on the calculator is 3.31662479

c) The rug will fit because the side length of the rug is approximately 3.3m and the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Triangle A: a2+b2=c2 (c2= 15cm2 15cm2=225cm2) 9cm2+12cm2=c2 (9cmx9cm)+(12cmx12cm)=c2 81cm2+144cm2=225cm2 225cm2=225cm2 It is a right triangle.

Triangle B: a2+b2=c2 (c2= 11cm2 11cm2=121cm2) 7cm2+8cm2=c2 (7cmx7cm)+(8cmx8cm)=c2 49cm2+64cm2=113cm2 121cm2 does not equal 113cm2 so it is not a right triangle.

Triangle C: a2+b2=c2 (c2= 25cm2 25cm2=625cm2) 7cm2+24cm2=c2 (7cmx7cm)+(24cmx24cm)=c2 49cm2+576cm2=625cm2 625cm2=625cm2 It is a right triangle.

Triangle D: a2+b2=c2 (c2= 34cm2 34cm2=1156cm2) 16cm2+30cm2=c2 (16cmx16cm)+(30cmx30cm)=c2 256cm2+900cm2=1156cm2 1156cm2=1156cm2 It is a right triangle.

Triangle E: a2+b2=c2 (c2= 14cm2 14cm2=196cm2) 10cm2+11cm2=c2 (10cmx10cm)+(11cmx11cm)=c2 100cm2+121cm2=221cm2 196cm2 does not equal 221cm2 so it is not a right triangle.

12. a. My estimation of the side length is 3.3 b. I got 3.317 on my calculator c. The rug will fit because the area of the rug is smaller than his bedroom.

14. A: a2+b2=c2 9square+12square=15square 81+144=225 It's a right triangle.

B: a2+b2=c2 7square+8square=11square 49+64=113 It's not a right triangle.

C: a2+b2=c2 7square+24square=25square 49+576=645 It's not a right triangle.

D: a2+b2=c2 16square+30square=34square 256+900=1156 It'a right triangle.

E: a2+b2=c2 10square+11square=14square 100+121=221 It's not a right triangle.

## 33 comments:

Station 3:

Question 12:

A)We estimate the side length to be 3.3 because 11 is in between the perfect squares 9 and 16, and 11 is closer to 9.

B)The side length on a calculator is 3.31.

C)The carpet will not fit because 11x11=121m and his room is only 20m

which is clearly way off.

Done by Suzie and Emily once again.

Station 3:

Question 14:

A: 9x9=81

12x12=144

15x15=225

81+144=225. Is a right triangle.

B: 7x7=49

8x8=64

11x11=121

49+64=113. Not a right triangle.

C: 7x7=49

24x24=576

25x25=625

49+576=645. Not a right triangle.

D: 16x16=256

30x30=900

34x34=1156

256=900=1156 Is a right triangle.

E: 10x10=100

11x11=121

14x14=196

100+121=221. Not a right triangle.

Question 12:

a)My estimation of the side length of the rug is 3.3m

b) The approximation on the calculator is 3.31662479

c) The rug will fit because the side length of the rug is approximately 3.3m and the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Triangle A:

a2+b2=c2 (c2= 15cm2 15cm2=225cm2)

9cm2+12cm2=c2

(9cmx9cm)+(12cmx12cm)=c2

81cm2+144cm2=225cm2

225cm2=225cm2

It is a right triangle.

Triangle B:

a2+b2=c2 (c2= 11cm2 11cm2=121cm2)

7cm2+8cm2=c2

(7cmx7cm)+(8cmx8cm)=c2

49cm2+64cm2=113cm2

121cm2 does not equal 113cm2 so it is not a right triangle.

Triangle C:

a2+b2=c2 (c2= 25cm2 25cm2=625cm2)

7cm2+24cm2=c2

(7cmx7cm)+(24cmx24cm)=c2

49cm2+576cm2=625cm2

625cm2=625cm2

It is a right triangle.

Triangle D:

a2+b2=c2 (c2= 34cm2 34cm2=1156cm2)

16cm2+30cm2=c2

(16cmx16cm)+(30cmx30cm)=c2

256cm2+900cm2=1156cm2

1156cm2=1156cm2

It is a right triangle.

Triangle E:

a2+b2=c2 (c2= 14cm2 14cm2=196cm2)

10cm2+11cm2=c2

(10cmx10cm)+(11cmx11cm)=c2

100cm2+121cm2=221cm2

196cm2 does not equal 221cm2 so it is not a right triangle.

Station 3

#12

a) √9=3

√11= 3.2 closer to 9

√16=4

b)√11= 3.31

c) Yes the rug will fit because 4mx5m= 20m² and the area of the rug is 11 m²

#14

a)

a²+b²=c²

9²+12²=15²

81cm+144cm=225cm

225cm=225cm

it is a right triangle

b)

a²+b²=c²

7²+8²=11²

49cm+64cm=121cm

113cm≠121cm

not a right triangle

c)

a²+b²=c²

7²+24²=25²

49cm+576cm=625cm

625cm=625cm

it is a right triangle

d)

a²+b²=c²

16²+30²=34²

256cm+144cm=1 156cm

1 156cm=1 156 cm

it is a right triangle

e)

a²+b²=c²

10²+11²=14²

100cm+121cm=196cm

221cm≠196cm

not a right triangle

Station 3:

Question 12:

a)My estimate of the side length is 3.3m.

b)Calculator estimate is √11 = 3.31662479.

c)The rug will fit since the side length (3.3m) is less than the side length of the shorter part of the wall. Also the area of the rug is 11m2 and the area of the room is 20m2.

Question 14:

Triangle A is a

right triangle:a2+b2=c2

(9x9)+(12x12)=(15x15)

81cm2+144cm2=225cm2

225cm2=225cm2

Triangle B is

not a right triangle:a2+b2=c2

(7x7)+(8x8)=(11x11)

49cm2+64cm2=113cm2

113cm2≠121cm2

Station 3:

Question 12:a)My estimation on the side length is 3.3m² because the 2 perfect squares near 11 is 9 and 16. (3x3) and (4x4) and I chose a number in between 3 and 4.

b)The side length is 3.31m².

c)Yes, it will fit because 3.31m² is smaller than the area of his bedroom.

Question 14:A; a² + b² = c²

9² + 12² = 15²

(9x9) + (12x12) = (15x15)

81cm + 144cm = 225cm

225cm² = 225cm²

It

isa right triangle.B; a² + b² = c²

7² + 8² = 11²

(7x7) + (8x8) = (11x11)

49cm + 64cm = 121cm

113cm² = 121cm²

It

is nota right triangle.C; a² + b² = c²

7² + 24² = 25²

(7x7) + (24x24) = (25x25)

49cm + 576cm = 625cm

625cm² = 625cm²

It

isa right triangle.D; a² + b² = c²

16² + 30² = 34²

(16x16) + (30x30) = (34x34)

256cm + 900cm = 1156cm

1156cm² = 1156cm²

It

isa right triangle.E; a² + b² = c²

10² + 11² = 14²

(10x10) + (11x11) = (14x14)

100cm + 121cm = 196cm

221cm² = 196cm²

It

is nota right triangle.Station 3:

Question 12-

a)I estimated that the side length for the rug is 3.3m.

b)The calculation for the side length is approximatively 3.31m

c)The rug will fit in the room because the side length of the rug is smaller than both of the side lengths for the room.

Question 14-

a)

area=a2+b2=c2

area=9squared+12squared=15squared

area=(9x9)+(12x12)=(15x15)

area=81cm2+144cm2=225cm2

225cm2=225cm2

It is a perfect square.

b)

area=a2+b2=c2

area=7squared+8squared=11squared

area=(7x7)+(8x8)=(11x11)

area=49cm2+64cm2=121cm2

113cm2 does not equal 121cm2

It is not a prefect square

c)

area=a2+b2=c2

area=7squared+24squared=25squared

area=(7x7)+(24x24)=(25x25)

area=49cm2+576cm2=625cm2

625cm2=625cm2

It is a perfect square.

d)

area=a2+b2=c2

area=16squared+30squared=34squared

area=(16x16)+(30x30)=(34x34)

area=256cm2+900cm2=1156cm2

1156cm2=1156cm2

It is a perfect square.

e)

area=a2+b2=c2

area=10squared+11squared=14squared

area=(10x10)+(11x11)=(14x14)

area=100cm2+121cm2=196cm2

221cm2 does not equal 196cm2

It is not a perfect square.

Station 3

12.

A.my estimation is 3.3

B.The calculator says the side length is 3.31

C.It will fit because the area of the rug is 11m2 and the room is 20m2.

13.

A.

a2+b2=c2

9 2+12 2=15 2

(9x9)+(12x12)=(15x15)

81+144=225

Yes it is a right triangle.

B.

a2+b2=c2

7 2+8 2=11 2

(7x7)+(8x8)=(11x11)

49+64=113

113 does not equal 121

No it is not a right triangle.

C.

a2+b2=c2

7 2+24 2=25 2

(7x7)+(24x24)=(25x25)

49+576=625

Yes it is a right triangle.

D.

a2+b2=c2

16 2+30 2=34 2

(16x16)+(30x30)=(34x34)

256+900=1156

Yes it is a right triangle.

E.

a2+b2=c2

10 2+11 2=14 2

(10x10)+(11x11)=(14x14)

100+121=221

221 does not equal 196

No it is not a right triangle.

Question 12:

A)I estimate the side length will be 3.3 m² because the perfect squares near 11 is 9 (3 x 3) and 16 (4 x 4). Since 11 is closer to 9 the side length is likely to be around 3.

B)The sidelength on a calculator is 3.31

C)Yes the rug will fit because the area of the rug is 11 m² and it is smaller than the area of the room.

Question 14:

Triangle A-

a² + b² = c²

9 cm² + 12 cm² = 15²

81cm² + 144cm² = 225cm²

225cm² = 225cm²

It is a right triangle

Triangle B-

a² + b² = c²

7² + 8² = 11²

49cm² + 64cm² = 121cm²

113cm² does not equal 121cm²

It is not a right triangle

Triangle C-

a² + b² = c²

7² + 24² = 25²

49cm² + 576cm² = 625cm²

625cm² = 625cm²

It is a right triangle

Triangle D-

a² + b² = c²

16² + 30² = 34²

256cm² + 900cm² = 1156cm²

1156cm² = 1156cm²

It is a right triangle

Triangle E-

a² + b² = c²

10² + 11² = 14²

100cm² + 121cm² = 196cm²

221cm² = 196cm²

It is not a right triangle

Question 12-

a)I estimated that the side length for the rug is 3.3m.

b)The calculation for the side length is approximatively 3.31m

c)The rug will fit in the room because the side length of the rug is smaller than both of the side lengths for the room.

Question 14-

a)

area=a2+b2=c2

area=9squared+12squared=15squared

area=(9x9)+(12x12)=(15x15)

area=81cm2+144cm2=225cm2

225cm2=225cm2

It is a perfect square.

b)

area=a2+b2=c2

area=7squared+8squared=11squared

area=(7x7)+(8x8)=(11x11)

area=49cm2+64cm2=121cm2

113cm2 does not equal 121cm2

It is not a prefect square

c)

area=a2+b2=c2

area=7squared+24squared=25squared

area=(7x7)+(24x24)=(25x25)

area=49cm2+576cm2=625cm2

625cm2=625cm2

It is a perfect square.

d)

area=a2+b2=c2

area=16squared+30squared=34squared

area=(16x16)+(30x30)=(34x34)

area=256cm2+900cm2=1156cm2

1156cm2=1156cm2

It is a perfect square.

e)

area=a2+b2=c2

area=10squared+11squared=14squared

area=(10x10)+(11x11)=(14x14)

area=100cm2+121cm2=196cm2

221cm2 does not equal 196cm2

It is not a perfect square.

12.

a) my estimation is 3.2

b)calculator: 3.31

c)yes the rug will fit. The side length of the rug is approximately 3.3m. the bedroom side is 4m x 5m.

14.

triangle:

A: a2+b2=c2

12cm2+9cm2=15cm2

144+81=225

225cm2=225cm2

this is a right triangle.

B: a2+b2=c2

7cm2+8cm2=11cm2

49+64=121 (does not equal 121)

this is not a right triangle.

C: a2+b2=c2

7cm2+24cm2=25cm2

49+576=626 (does not equal 626)

this is not a right triangle

D: a2+b2=c2

16cm2+30cm2=34cm2

256+900=1156

this is a right triangle

E: a2+b2=c2

10cm2+11cm2=14cm2

100+121=196 (does not equal 196)

this is not a right triangle

Station 3:

Triangle A:

a²+b²=c²

9cm²+12cm²=225cm²

OR

(9x9)+(12x12)=225

81+144=225

225cm²=255cm²

This is a right triangle

Triangle B:

a²+b²=c²

7cm²+8cm²=11cm²

OR

(7x7)+(8x8)=(11x11)

49+64+121

113=121

This is not a right triangle

Triangle C:

a²+b²=c²

7cm²+24cm²=25cm²

OR

(7x7)+(24x24)=(25x25)

49+576+625

625=625

This is a right triangle

Triangle D:

a²+b²=c²

16cm²+30cm²=34cm²

OR

(16x16)+(30x30)=(34x34)

256+900=1156

1156=1156

This is a right triangle

Triangle E:

a²+b²=c²

10cm²+11cm²=14cm²

OR

(10x10)+(11x11)=(14x14)

100+121=196

221=196

This is not a right triangle

#12

a)√11=3.2

I got 3.2 because 11 is between 9 and 16.Their square roots are 3 and 4. That means the square root is between those 2 digits. Since it's closer to 9, it must be 3.*, I got the

.2because in the numberline 11 is the second number from 9.b)√11= 3.31

c)The rug will fit because the area of of is bedroom is 20m² and the area of the rug is only 11m²

.That means the rug is smaller than the bedroom which is why the rug can fit.

#14

a)

a²+b²=c²

9²+12²=15²

81cm+144cm=225cm

225cm=225cm

a right triangleb)

a²+b²=c²

7²+8²=11²

49cm+64cm=121cm

113cm≠121cm

not a right trianglec)

a²+b²=c²

7²+24²=25²

49cm+576cm=625cm

625cm=625cm

a right triangled)

a²+b²=c²

16²+30²=34²

256cm+144cm=1 156cm

1 156cm=1 156 cm

a right trianglee)

a²+b²=c²

10²+11²=14²

100cm+121cm=196cm

221cm≠196cm

not a right triangleStation 3:

12.

a) My estimation of the rug's side length was 3.3m.

b) √11= 3.31662479

c) Yes, the rug will fit because 3.3m is smaller than the shortest side of the room.

14.

A: a²+b²=c²

9cm²+12cm²=15cm²

(9x9)+(12x12)=(15x15)

81cm²+144cm²=225cm²

225cm²=225cm²

It

isa right triangle.B: a²+b²=c²

7cm²+8cm²=11cm²

(7x7)+(8x8)=(11x11)

49cm²+64cm²=113cm²

113cm²≠121cm²

It

is nota right triangle.C: a²+b²=c²

7cm²+24cm²=25cm²

(7x7)+(24x24)=(25x25)

49cm²+576cm²=625cm²

625cm²=625cm²

It

isa right triangle.D: a²+b²=c²

16cm²+30cm²=34cm²

(16x16)+(30x30)=(34x34)

256cm²+900cm²=1156cm²

1156cm²=1156cm²

It

isa right triangle.E: a²+b²=c²

10cm²+11cm²=14cm²

(10x10)+(11x11)=(14x14)

100cm²+121cm²=221cm²

221cm²≠196cm²

It

is nota right triangle.Station 3

Question 12

a)My estimation was 3.3m² because 11 is between 9 (3x3) and 16 (4x4), and so 11 is closer to nine.

b) The side length is 3.31m²

c) Yes, the carpet will fit because the side length of the rug is smaller than the side lengths of the room.

Question 14

Triangle A:

a²+b²=c²

9cm²+12cm²=15cm²

(9x9)+(12x12)=(15x15)

81+144=225

225cm²=225cm²

It IS a right triangle.

Triangle B:

a²+b²=c²

7cm²+18cm²=11cm²

(7x7)+(18x18)=(11x11)

49+64=121

113cm²≠121cm²

It is NOT a right triangle.

Triangle C:

a²+b²=c²

7cm²+24cm²=25cm²

(7x7)+(24x24)=(25x25)

49+576=625

625cm²=625cm²

It IS a right triangle.

Triangle D:

a²+b²=c²

16cm²+30cm²=34cm²

256+900=1156

1156cm²=1156cm²

It IS a right triangle.

Triangle E:

a²+b²=c²

10cm²+11cm²=14cm²

(10x10)+(11x11)=(14x14)

100+121=196

221cm²≠196cm²

It is NOT right triangle.

Question #12.

a) my estimate: 3.3

b) calculator: 3.31662479

c)Yes, the rug will fit because the area of the bedroom is 20m² and the rug is only 11m²

Question #14.

A

a²+b²=c²

9cm²+12cm²=15cm²

81cm²+144cm²=225cm²

225cm²=225cm²

THIS IS A RIGHT TRIANGLE

B

a²+b²=c²

7cm²+8cm²=11cm²

49cm²+64cm²=121cm²

113cm²does not equal 121cm²

This is NOT a right triangle

C

a²+b²=c²

7cm²+24cm²=25m²

49m²+576cm²=625cm²

625cm²=625cm²

THIS IS A RIGHT TRIANGLE

D

a²+b²=c²

16cm²+30cm²=34cm²

256cm²+900cm²=1156cm²

1156cm²=1156cm²

THIS IS A RIGHT TRIANGLE

E

a²+b²=c²

10cm²+11cm²=14cm²

100cm²+121cm²=196cm²

221cm² does not equal 196cm²

This is NOT a right triangle.

Station 3

My estimate is 3.3

The calculator estimate that the side length of 11m2 is 3.31662479

a²+b²=c²

9²+12²=15²

81cm+144cm=225cm

225cm=225cm

right triangle

a²+b²=c²

7²+8²=11²

49cm+64cm=121cm

113cm does not= 121cm

not a right triangle

a²+b²=c²

7²+24²=25²

49cm+576cm=625cm

625cm=625cm

right triangle

a²+b²=c²

16²+30²=34²

256cm+144cm=1 156cm

1 156cm=1 156 cm

right triangle

a²+b²=c²

10²+11²=14²

100cm+121cm=196cm

221cm does not =196cm

not a right triangle

Station 3:

#12

A)The rug is about 3.3 because 11 is lower than half of 9 and 16.

B)The calculator says 3.31662479.

C)The rug will fit because the area of the rug is 11m2 and the area of the bedroom is 20m2.

#14

A)9x9=81

12x12=144

15x15=225

144+81=225cm2

It is a right triangle.

B)7x7=49

8x8=64

11x11=121

53+49=113cm2

Not a right triangle.

C)7x7=49

24x24=576

25x25=625

576+49=625cm2

It is a right triangle.

D)16x16=256

30x30=900

34x34=1156

900+256=1156cm2

It is a right triangle.

E)10x10=100

11x11=121

14x14=196

121+100=221cm2

Not a right triangle.

QUESTION 12:

a.)3 x 3 = 94 x 4 = 16

9 is closer to 11. But in this question, they're looking for side length.

Since the side length of 9 is 3, we'll use 3 for our whole number.

3. ___

Now, we just need to find out one decimal to replace the blank. To find the answer to that, count the intervals between 9 and 11.

11 - 9 = 2

The estimated answer will be,3.2 m

b.)By using my calculator, I multiplied 3.2 by itself to check it.3.2 x 3.2 = 10.24

c.)Yes, the rug will fit because the sides of the rug is smaller than the size of his room.QUESTION 14:

TRIANGLE Aa² + b² = c²

9² + 12² = 15²

(9x9) + (12x12) = 15x15

81 cm² + 144 cm² = 225 cm²

225 cm² = 225 cm²

This IS a right triangle.

TRIANGLE Ba² + b² = c²

7² + 8² = 11²

(7x7) + (8x8) = 11x11

49 cm² + 64 cm² = 121 cm²

113 cm² ≠ 121 cm²

This IS NOT a right triangle.

TRIANGLE Ca² + b² = c²

7² + 24² = 25²

(7x7) + (24x24) = 25x25

49 cm² + 576 cm² = 625 cm²

625 cm² = 625 cm²

This IS a right triangle.

TRIANGLE Da² + b² = c²

16² + 30² = 34²

(16x16) + (30x30) = 34x34

206 cm² + 900 cm² = 1156 cm²

1156 cm² = 1156 cm²

This IS a right triangle.

TRIANGLE Ea² + b² = c²

10² + 11² = 14²

(10x10) + (11x11) = 14x14

100 cm² + 121 cm² = 196 cm²

221 cm² ≠ 196 cm²

This IS NOT a right triangle.

Station 3:

12)

a) I estimated the side length of the rug to be 3.2.

b) The calculator said the side length of the rug is 3.31.

c)the carpet will fit because the area of the rug is 11m2 and the are of the room is 20m2.

14)

A: a²+b²=c²

9²+12²=15²

81cm+144cm=225cm

225cm²=225cm²

It is a right triangle.

B: a²+b²=c²

7²+8²=11²

49cm+64cm=121cm

121cm²=113cm²

It is not a right triangle.

C: a²+b²=c²

7²+24²=25²

49cm+576cm=625cm

625cm²=625cm²

It is a right triangle.

D: a²+b²=c²

16²+30²=34²

256cm+900cm=1156cm

1156cm²=1156cm²

It is a right triangle.

E: a²+b²=c²

10²+11²=14²

100cm+121cm=196cm

196cm²=221cm²

IT is not a right triangle.

Question 12

a) I estimated it to 3.3 because 11 is between the perfect squares of 9(3) and 16(4).

b) 10. 89 is my answer when I used the calculator.

c) Yes, the rug will fit because it is smaller than the size of the room.

QUESTION 14

a)

a²+b²=c²

9²+12²=15²

81cm+144cm=225cm

225cm=225cm

It is a right triangle.

b)

a²+b²=c²

7²+8²=11²

49cm+64cm=121cm

113cm≠121cm

It is not a right triangle.

c)

a²+b²=c²

7²+24²=25²

49cm+576cm=625cm

625cm=625cm

It is a right triangle.

d)

a²+b²=c²

16²+30²=34²

256cm+144cm=1 156cm

1 156cm=1 156 cm

It is a right triangle.

e)

a²+b²=c²

10²+11²=14²

100cm+121cm=196cm

221cm≠196cm

It is not a right triangle.

Station 3

Number 12

a) estimate- 3.3 cm

b) calculator- 3.31 cm

c) It will fit, because the side lengths of the rug do not surpass the walls of his room. As for the furniture...

Number 14

Triangle A

a²+b²=c²

9²+12²=15²

(9x9)+(12x12)=(15x15)

81+144=225

225=225

It is a right triangle.

Triangle B

a²+b²=c²

7²+8²=11²

(7x7)+(8x8)=(11x11)

49+64=121

113 is not equal to 121.

It is not a right triangle.

Triangle C

a²+b²=c

7²+24²=25²

(7x7)+(24x24)=(25x25)

49+576=625

625=625

It is a right triangle.

Triangle D

a²+b²=c²

16²+30²=34²

(16x16)+(30x30)=(34x34)

256+900=1156

1156=1156

It is a right triangle.

Triangle E

a²+b²=c²

10²+11²=14²

(10x10)+(11x11)=(14x14)

100+121=196

221 is not equal to 196

It is not a right triangle.

Triangle α

a²+b²=c²

4²+3²=5²

(4x4)+(3x3)=(5x5)

16+9=25

25=25

It is a right triangle.

Triangle Ω

a²+b²=c²

2²+3²=4²

(2x2)+(3x3)=(4x4)

4+9=16

13 is not equal to 16

It is not a right triangle.

Question 12:

A)My estimation on the side length is 3.3m because the 2 perfect squares close to 11 is 9 and 16. (3x3=9) and (4x4=16). I estimated a number in between those 2 numbers and came up with 3.3m.

B)The calculator shows 3.31662479

C)Yes the carpet will fit because the side length of the rug is approximately 3.3m and so the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Question 14:

A)9x9=81

12x12=144

15x15=225

81+144 225

225cm2=225cm2

This is a right triangle.

B)7x7=49

8x8=64

11x11=121

49+64=113

113cm=/121cm

This is not a right triangle.

C)7x7=49

24x24=576

25x25=625

49+576=645

645cm=/625cm

This is not a right triangle.

D)16x16=256

30x30=900

34x34=1156

256+900=1156

1156cm=1156cm

This is a right triangle.

E)10x10=100

11x11=121

14x14=196

100+121=221

221cm=/196cm

This is not a right triangle.

Question 12 .

a) I estimated it was 3.3 because

3²= 9 & 4²=16, 11 is closer to 9, therefore it will be 3.3 .

b) Using a calculator, the square root of 11 is 3.31, so 3.31 is the side length.

c) Yes, the carpet will fit because the area of the carpet is smaller than the area of the room. (area of carpet is 11m² & the area of the room is 20m²)

Question 14 .

A: a² + b² = c²

9² + 12² = 15²

(9x9) + (12x12) = (15x15)

81cm + 144cm = 225cm

225cm² = 225cm²

It is a right triangle.

B: a² + b² = c²

7² + 8² = 11²

(7x7) + (8x8) = (11x11)

49cm + 64cm = 121cm

113cm² = 121cm²

It is not a right triangle.

C: a² + b² = c²

7² + 24² = 25²

(7x7) + (24x24) = (25x25)

49cm + 576cm = 625cm

625cm² = 625cm²

It is a right triangle.

D: a² + b² = c²

16² + 30² = 34²

(16x16) + (30x30) = (34x34)

256cm + 900cm = 1156cm

1156cm² = 1156cm²

It is a right triangle.

E: a² + b² = c²

10² + 11² = 14²

(10x10) + (11x11) = (14x14)

100cm + 121cm = 196cm

221cm² = 196cm²

It is not a right triangle.

Station 3:

Question 12:

a) I estimated the side length of the rug to be 3.3 because 11 is in between nine and sixteen which are perfect squares, and eleven is closer to nine.

b) The square root on the calculator is 3.31662479, but to simplify that it would just be 3.31

c)The rug will not fit in the 4mx5m room because it equals to twenty and 11x11=121.

Question 14:

Trianlge A=9cm, 12cm, 15cm

Trianlge B=7cm, 8cm, 11cm

Trianlge C=7cm, 24cm, 25cm

Trianlge D=16cm, 30cm, 34cm

Trianlge E=10cm, 11cm, 14cm

Triangle A: a2+b2=c2 81+144=225

225=225, Triangle A is a right triangle.

Triangle B: a2+b2=c2, 49+64=113cm

113 is not equal to 121, not a right triangle.

Triangle C: a2+b2=c2, 49+57=625cm2

625=625, triangle c is a right triangle.

Triangle D: a2+b2=c2, 256+900=1156cm 1156=1156, triangle D is a right triangle.

Triangle E: a2+b2=c2 100+121=221cm

221 is not equal to 196, Triangle E is not a right triangle.

Question 12:

a) 3.3m² because the 2 perfect squares that are closest to eleven are 9 and 16.

b)The side length is 3.31m².

c)Yes, the rug will fit because 3.31m² is smaller than the area of his bedroom.(20m²)

Question 14:

Triangle A;

a² + b² = c²

9² + 12² = c²

(9x9) + (12x12) = c²

81cm² + 144cm² = 225cm²

225cm² = 225cm²

Yes it's a right triangle.

Triangle B;

a² + b² = c²

7² + 8² = c²

(7x7) + (8x8) = c²

49cm² + 64cm² = 121cm²

121cm² ≠ 113cm²

No it's not a right triangle.

Triangle C;

a² + b² = c²

7² + 24² = c²

(7x7) + (24x24) = c²

49cm² + 576cm² = 625cm²

625cm² = 625cm²

Yes it's a right triangle.

Triangle D;

a² + b² = c²

16² + 30² = c²

(16x16) + (30x30) = c²

256cm² + 900cm² = 1156cm²

1156cm² = 1156cm²

Yes it's a right triangle.

Triangle E;

a² + b² = c²

10² + 11² = c²

(10x10) + (11x11) = c²

100cm² + 121cm² = 196cm²

196cm² ≠ 221cm²

No it's not a right triangle.

a)My estimation is 3.3 because it is close to nine.

b) the side length in the calcultor is 3.31.

c)the rug will fit because 3.31 is smaller than 4 and it will not go off.

Question 14:

A

a²+b²=c²

9²+12²=c²

81cm²+144cm²=c²

225cm²=c²

square root of 225 is 15. Right triangle.

B:

a²+b²=c²

7²+8²=11²

49cm²+64²=121cm²

113cm²=121² Not a right triangle.

C:

a²+b²=c²

7²+24²=25²

49cm²+576cm²=625cm²

625cm²=625cm² A right triangle.

D:

a²+b²=c²

16²+30²=34²

256cm²+900cm²=1156cm²

1156cm²=1156cm² Right Triangle.

E:

a²+b²=c²

10²+11²=14²

100cm²+121cm²=196cm²

221cm²=196cm² Not a right triangle.

12. a)Our estimation was 3.3 for the rug.

b)The answer on the calculator was 3.31.

c) Th carpet will fit because it is smaller than the rooms area.

14.A-a²+b²=c²

9²+12²=15²

81²+144²=225²

It's a right triangle

B- a² + b² = c²

7² + 8² = 11²

49cm² + 64cm² = 121cm²

It is not a right triangle, 49+64 does not equal 121.

C-a² + b² = c²

7² + 24² = 25²

49cm² + 576cm² = 625cm²

It is a right triangle

D-a² + b² = c²

16² + 30² = 34²

256cm² + 900cm² = 1156cm²

It is a right triangle

E-a² + b² = c²

10² + 11² = 14²

100cm² + 121cm² = 196cm²

100+121 does not equal 196

It is not a right triangle

Question 12:

a)My estimation of the side length of the rug is 3.3m

b) The approximation on the calculator is 3.31662479

c) The rug will fit because the side length of the rug is approximately 3.3m and the shortest side length in the room is 4m. The area of the rug is also only 11m2 and the area of the room is 4mx5m=20m2.

Triangle A:

a2+b2=c2 (c2= 15cm2 15cm2=225cm2)

9cm2+12cm2=c2

(9cmx9cm)+(12cmx12cm)=c2

81cm2+144cm2=225cm2

225cm2=225cm2

It is a right triangle.

Triangle B:

a2+b2=c2 (c2= 11cm2 11cm2=121cm2)

7cm2+8cm2=c2

(7cmx7cm)+(8cmx8cm)=c2

49cm2+64cm2=113cm2

121cm2 does not equal 113cm2 so it is not a right triangle.

Triangle C:

a2+b2=c2 (c2= 25cm2 25cm2=625cm2)

7cm2+24cm2=c2

(7cmx7cm)+(24cmx24cm)=c2

49cm2+576cm2=625cm2

625cm2=625cm2

It is a right triangle.

Triangle D:

a2+b2=c2 (c2= 34cm2 34cm2=1156cm2)

16cm2+30cm2=c2

(16cmx16cm)+(30cmx30cm)=c2

256cm2+900cm2=1156cm2

1156cm2=1156cm2

It is a right triangle.

Triangle E:

a2+b2=c2 (c2= 14cm2 14cm2=196cm2)

10cm2+11cm2=c2

(10cmx10cm)+(11cmx11cm)=c2

100cm2+121cm2=221cm2

196cm2 does not equal 221cm2 so it is not a right triangle.

QUESTION 12:

A)My estimate of the side length is 3.3m.

B) By using my calculator, I multiplied 3.2 by itself to check it.

3.2 x 3.2 = 10.24

C) Yes, the rug will fit because the sides of the rug is smaller than the size of his room.

Question 14:

A: 9x9=81

12x12=144

15x15=225

81+144=225. Is a right triangle.

B: 7x7=49

8x8=64

11x11=121

49+64=113. It is Not a right triangle.

C: 7x7=49

24x24=576

25x25=625

49+576=645. It is Not a right triangle.

D: 16x16=256

30x30=900

34x34=1156

256=900=1156 Is a right triangle.

E: 10x10=100

11x11=121

14x14=196

100+121=221. It is Not a right triangle.

Station 3

12.

a. My estimation of the side length is 3.3

b. I got 3.317 on my calculator

c. The rug will fit because the area of the rug is smaller than his bedroom.

14.

A:

a2+b2=c2

9square+12square=15square

81+144=225

It's a right triangle.

B:

a2+b2=c2

7square+8square=11square

49+64=113

It's not a right triangle.

C:

a2+b2=c2

7square+24square=25square

49+576=645

It's not a right triangle.

D:

a2+b2=c2

16square+30square=34square

256+900=1156

It'a right triangle.

E:

a2+b2=c2

10square+11square=14square

100+121=221

It's not a right triangle.

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