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

Wednesday, November 10, 2010

Math Scavenger Hunt Station 2

How do you know that the following are Right Triangles? Explain your thinking in words and pictures. Show your work on a white piece of paper and colour it to explain your thinking

a2+b2=c2 20cm2 + 40cm2= 50cm2 (20x20=400)+(40x40=1600)=(50x50=2500) 400cm2 + 1600cm2= 2000cm2 400cm2 + 1600cm2 doesn't equal 2500cm2 It is not a right triangle.

a2+b2=c2 2cm2 + 3cm2= 4cm2 (2x2=4) + (3x3=9)= (4x4=16) 4cm2 + 9cm2= 13cm2 4cm2 + 9cm2= 13cm2 not 16cm2 so it is not a right triangle

Question 8: The triangle is not a right triangle because if you apply a squared plus b squared equals c squared, it says that c=44.72 which is not correct.

Question 8: a² + b² = c² 20cm² + 40cm² = 60cm² 60cm² ≠ 50cm² The triangle is not a right triangle because the legs don't equal the hypotenuse.

Question 9: The areas are of 2(a), 3(b), 4(c) are: a=4cm² b=9cm² c=16cm²

a² + b²= c² 2² + 3²= c² (2x2)+(3x3)= c² 4cm² + 9cm² = 13cm² 13cm² ≠ 16cm² This triangle is not a right triangle because the legs(a and b) don't equal the hypotenuse(c).

a2+b2=c2 20cm2 + 40cm2= 50cm2 (20x20=400)+(40x40=1600)=(50x50=2500) 400cm2 + 1600cm2= 2000cm2 400cm2 + 1600cm2 doesn't equal 2500cm2 The triangle is not a right triangle.

QUESTION 9

a2+b2=c2 2cm2 + 3cm2= 4cm2 (2x2=4) + (3x3=9)= (4x4=16) 4cm2 + 9cm2= 13cm2 4cm2 + 9cm2= 13cm2 not 16cm2 It is not a right triangle because it doesn't have the a²+b²=c².

## 40 comments:

a2+b2=c2

20cm2 + 40cm2= 50cm2

(20x20=400)+(40x40=1600)=(50x50=2500)

400cm2 + 1600cm2= 2000cm2

400cm2 + 1600cm2 doesn't equal 2500cm2

It is not a right triangle.

a2+b2=c2

2cm2 + 3cm2= 4cm2

(2x2=4) + (3x3=9)= (4x4=16)

4cm2 + 9cm2= 13cm2

4cm2 + 9cm2= 13cm2 not 16cm2 so it is not a right triangle

Station 2:

Question 8:

The triangle is not a right triangle because if you apply a squared plus b squared equals c squared, it says that c=44.72 which is not correct.

Question 9:

The areas of the squares are:

a=9cm

b=4cm

c=13cm

Stations 1 and 2 were also done by Emily.

8.

a2+b2=c2

40cm2+20cm2=50cm2

60cm2 does not 50cm2

9.

a2+b2=c2

2 squared + 3 squared=4 squared

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

4+9=16

13 does not equal 16

Neither are perfect squares because when you apply them to a2+b2=c2 the answer is not correct.

a2+b2=c2(50cm2)

40cm2+20cm2=60cm2

50cm2 does not equal 60cm2 so it isn't a right triangle.

a2+b2=c2 (c=4cm 4cm2= 16cm2)

3cm2+2cm2=c2

(3cmx3cm)+(2cmx2cm)=c2

9cm2+4cm2=13cm2

16cm2 does not equal 13cm2 so it is not a right triangle.

These triangles are not right triangles because they do not follow the formula.

8. a2=b2=c2

20cm2=40cm2=60cm2

60 doesn't equal 50

9.a2+b2=c2

2cm2+3cm@=4cm2

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

13 doesn't equal 16

These triangles are not right triangles because when you apply the formula to these triangles the answer isn't right.

Question 8.

a2 + b2 = c2

40cm2+20cm2=50cm2

(40x40)+(20x20)=(50x50)

1600cm2+ 400cm2= 2500

2000 doesnt = to 2500

No Its not a right triangle because a2+b2 doesnt equal to the hypotenuse.

Question 9.

a2+b2=c2

3cm2+2cm2= 4cm2

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

9cm2+ 4cm2= 16cm2

13cm2 doesnt = to 16cm2

No its not a right tirangle because 9cm2 + 4cm2= 13cm2, the hypotenuse is 16 cm2.

Question 8.

a2 + b2 = c2

40cm2+20cm2=50cm2

(40x40)+(20x20)=(50x50)

1600cm2+ 400cm2= 2500

2000 doesnt = to 2500

No Its not a right triangle because a2+b2 doesnt equal to the hypotenuse.

Question 9.

a2+b2=c2

3cm2+2cm2= 4cm2

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

9cm2+ 4cm2= 16cm2

13cm2 doesnt = to 16cm2

No its not a right tirangle because 9cm2 + 4cm2= 13cm2, the hypotenuse is 16 cm2.

#8

a²+b²=c²

40cm²+20cm²=50cm²

60cm²≠50cm²

#9

a²+b²=c²

3²+2²=4²

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

9cm²+4cm²=16cm²

13cm²≠16²

Both of these triangles do not follow the formula (a²+b²=c²) therefore, they are not right triangles.

a2 + b2 = c2

40cm2 + 20cm2 = 60 cm2

60cm2 ≠ 50cm2

It is

not a right triangle.a2 + b2 = c2

3cm2 + 2cm2 = 4cm2

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

9cm2 + 4cm2 = 13cm2

13cm2 ≠ 16cm2

It is

not a right triangle.#8

a2+b2=c2

20cm2+40cm2=50cm2

60cm2 does not equal 50cm2

It is not a right triangle.

#9

a2+b2=c2

2cm2+3cm2=4cm2

5cm2 does not equal 4cm2

It is not a right triangle.

8.

a2+b2=c2

40cm2+20cm2= 50cm2

It's not a right triangle.

50cm2 does not equal 60cm2

9.

a2+b2=c2

2cm2+3cm2= 4cm2

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

4cm2+9cm2=16cm2

13cm2 doesn't equal 16cm2

No, it's not a right triangle.

Station 2

8. a2+b2=c2

20cm2+40cm2=50m2

(20x20)+(40x40)=(50x50)

400cm2+1600cm2=2000cm2

2000 does not equal 2500

9.

A=3x3=9cm2

B=2x2=4cm2

C=4x4=16cm2

Both of these are not right triangles.

Question 8:

a²+ b² = c²

40 cm² + 20 cm² = 50 cm²

1600 cm² + 400 cm² = 2500 cm²

2000 cm² does not equal 2500 cm²

It is not a right triangle

Question 9:

a² + b² = c²

2 cm² + 3 cm² = 4 cm²

4 cm² + 9 cm² = 16 cm²

13 cm² does not equal 16 cm²

It is not a right triangle

Question 8:

a²+b²=c²

40cm²+20cm²=50cm²

60cm²≠50cm²

Question 9:

a²+b²=c²

3²+2²+4²

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

9cm²+4cm²=16cm²

13cm²≠16²

Both of these triangles don't follow a²+b²=c²

so they are not right triangles

8.

a2+b2=c2

40cm2+20cm2=50cm2 (does not equal 50cm2)

40cm2+20cm2=60cm2

not a right triangle

9.

a2+b2=c2

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

9cm2+4cm2=16cm2 (does not equal 16cm2)

not a right triangle

Triangle 1 is not a right triangle.

a2+b2=c2

40cm2+20cm2 does not equal 50cm2

40cm2+40cm2=60cm2

60cm2 does not equal 50cm2

Triangle 2 is not a right triangle.

a2+b2=c2

3cm2+2cm2 does not equal 4cm2

9cm2+4cm2 does not equal 16cm2

9cm2+4cm2=13cm2

13cm2 does not equal 16cm2

#8

a²+b²=c²

40cm²+20cm²=50cm²

60cm²≠50cm²

#9

a²+b²=c²

3²+2²=4²

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

9cm²+4cm²=16cm²

13cm²≠16²

Both of the triangles aren't a right triangle because they don't work with a²+b²=c².

Question 8:

a² + b² = c²

40 cm² + 20 cm² = 50 cm²

1600 cm² + 400 cm² = 2500 cm²

2000 cm² does not equal 2500 cm²

Question 9:

a² + b² = c²

2 cm² + 3 cm² = 4 cm²

4 cm² + 9 cm² = 16 cm²

13 cm² does not equal 16 cm²

Both are not right triangles because both sides of the equation do not equal each other.

Question #8.

a²+b²=c²

20cm²+40cm²=50cm²

(20x20)+(40x40)=(50x50)

400cm²+1600cm²=2500cm²

2000cm² does not equal 2500cm²

This is NOT a right triangle.

Question #9.

Square a

area= SxS

area= 2x2

area= 4cm²

Square b

area= SxS

area= 3x3

area= 9cm²

Square c

area= SxS

area= 4x4

area= 16cm²

a²+b²=c²

2²+3²=4²

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

4+9=16

13 doesn't equal 16.

This is NOT a right triangle.

#8

a²+b²= c²

40cm²+20cm²=c²

1600+400=2000

2000 does not equal 2500(50cm²) so its not a right triangle.

#9

a=9cm²

b=4cm²

c=16cm²

a2+b2=c2

20squared + 40squared= 50squared

400+1600 does not equal 2500cm

It's not a right triangle

4x4=16.squared cm

2x2=4.squared cm

3x3=9.squared cm

#8a² + b² = c²

20² + 40² = 50²

(20x20) + (40x40) = 50x50

400 cm² + 1600 cm² = 2500 cm²

2000 cm² ≠ 2500 cm²

This is not a right triangle because 2000 cm² does not equal to 2500 cm².

#9a² + b² = c²

2² + 3² = 4²

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

4 cm² + 9 cm² = 16 cm²

13 cm² ≠ 16 cm²

This is not a right triangle.

Station 2:

8)

a2+b2=c2

40cm+20cm=50cm

50cm2=60cm2

It is not a right triangle.

9)

a2+b2=c2

(3cm)squared+(2cm)squared=(4cm)squared

9cm2+4cm2=16cm2

16cm2=13cm2

It is not a right triangle.

8)

a2+b2=c2

(40x40)+ (20x 20)= 2000cm2

50 x 50 =2500cm 2

2000cm2= 2500 cm2

NOT EQUAL. It is not a right triangle.

9)

a2+b2= c2

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

9 4 16

4cm2+ 9cm2 = 13 cm2

13 cm2= 16cm2

NOT EQUAL. It is not a right triangle.

Question 8.

a² + b² = c²

20² + 40² = 50²

(20x20) + (40x40) = 50x50

400 cm² + 1600 cm² = 2500 cm²

2000 cm² ≠ 2500 cm²

It is not a right triangle because 2000 does not equal 2500

Question 9 .

a² + b² = c²

2² + 3² = 4²

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

4 cm² + 9 cm² = 16 cm²

13 cm² ≠ 16 cm²

It is not a right triangle because 13 does not equal 16.

Station 2:

Number 8

a²+b²=c²

40cm²+20cm²=50cm²

60cm² is not equal to 50cm²

Number 9

a²+b²=c²

2²+3²+4²

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

4+9=16

13 is not equal to 16

Verdict

Neither are right triangles.

8)

a2+b2=c2

20cm2 + 40cm2 = 50cm2

(20x20=400)+(40x40=1600)=(50x50=2500)

400cm2 + 1600cm2 = 2000cm2

2000cm2 = /2500cm2

This is not a right triangle.

9)a2+b2=c2

2cm2 + 3cm2 = 4cm2

(2x2=4) + (3x3=9) = (4x4=16)

4cm2 + 9cm2 = 13cm2

13cm2 = /16cm2

This is not a right triangle.

8). a2+b2=c2

20cm2+40cm2=50m2

(20x20)+(40x40)=(50x50)

400cm2+1600cm2=2000cm2

2000 does not equal 2500

9).

a=9cm-sqaured

b=4cm-sqaured

c=16cm-sqaured

Question 8:

a² + b² = c²

20cm² + 40cm² = 60cm²

60cm² ≠ 50cm²

The triangle is not a right triangle because the legs don't equal the hypotenuse.

Question 9:

The areas are of 2(a), 3(b), 4(c) are:

a=4cm²

b=9cm²

c=16cm²

a² + b²= c²

2² + 3²= c²

(2x2)+(3x3)= c²

4cm² + 9cm² = 13cm²

13cm² ≠ 16cm²

This triangle is not a right triangle because the legs(a and b) don't equal the hypotenuse(c).

a²+b²=c²

40cm²+20cm²=50cm²

(40x40)+(20x20)=(50x50)

1600cm²+400cm²=2500cm²

2000cm²=2500cm²

It's not a right triangle because it doesn't equal.

Areas of the square:

a=9cm²

b=4cm²

c=16cm²

a2+b2=c2(50cm2)

40cm2+20cm2=60cm2

50cm2 does not equal 60cm2 so it isn't a right triangle.

a2+b2=c2 (c=4cm 4cm2= 16cm2)

3cm2+2cm2=c2

(3cmx3cm)+(2cmx2cm)=c2

9cm2+4cm2=13cm2

16cm2 does not equal 13cm2 so it is not a right triangle.

These triangles are not right triangles because they do not follow the formula.

Station 2

8.a2 + b2 = c2

40 cm2 + 20 cm2 = 50 cm2

1600 cm2 + 400 cm2 = 2500 cm2

it is not a right triangle,

1600+400=2000, not 2500

9.Area of 2=4

Area of 3=9

Area of 4=16

a2+b2=c2

40cm2+20cm2=50cm2

(40x40)+(20x20)=2500

1600+400+2000

The triangle is not a right triangle.

a2+b2=c2

3cm2+2cm2=4cm2

(3x3)+(2x2)=13cm2

9+4=13

The triangle is not a right triangle.

QUESTION 8

a2+b2=c2

20cm2 + 40cm2= 50cm2

(20x20=400)+(40x40=1600)=(50x50=2500)

400cm2 + 1600cm2= 2000cm2

400cm2 + 1600cm2 doesn't equal 2500cm2

The triangle is not a right triangle.

QUESTION 9

a2+b2=c2

2cm2 + 3cm2= 4cm2

(2x2=4) + (3x3=9)= (4x4=16)

4cm2 + 9cm2= 13cm2

4cm2 + 9cm2= 13cm2 not 16cm2

It is not a right triangle because it doesn't have the a²+b²=c².

Station 2

8.

a2+b2=c2

20cm2+40cm2=50cm2

It's not a right triangle because 20cm2+40cm2 doesn't equal 50cm2.

9.

a=4cm2

b=9cm2

c=16cm2

Post a Comment