## 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.

Suzie 8-14 said...

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.

Suzie 8-14 said...

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.

Emily873 said...

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.

AlecM873 said...

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

Olivia816 said...

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

Marie17 said...

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 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.

Marysa873 said...

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.

kyle817 said...

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.

Kristel816 said...

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

Casey 8-17 said...

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.

Colleen873 said...

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

Jomer873 said...

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

kathryn8-17 said...

#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

Kim8-14 said...

Station 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 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.

Angelique 873 said...

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.

Hazel873 said...

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.

Alec 8-16 said...

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

Jayvee816 said...

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.

bennette8-17 said...

QUESTION 12:

a.) 3 x 3 = 9
4 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 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.

Glenesse814 said...

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.

Trish8-17 said...

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.

meldrick73 said...

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.

Demvry8-17 said...
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Demvry8-17 said...

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.

marilen17 said...

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.

Sandra8-14 said...

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.

Karen816 said...
This comment has been removed by the author.
Karen816 said...

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.

Karen 8-17 said...

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.

Justin P816 said...

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

Breanna873 said...

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.

Paul M. 8-14 said...

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.

Shenna 8-14 said...

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.