3. Determine the length of each hypotenuse.

a)

c squared = a squared + b squared

c squared = 12 squared + 16 squared

c squared = (12 x 12) + (16 x 16)

c squared = 144 + 256

c squared = 400 cm squared

Then squared root "c" squared and square root 400 cm squared

c = 20 cm

b)

r squared = p squared + q squared

r squared = 16 squared + 30 squared

r squared = (16 x 16) + (30 x 30)

r squared = 256 + 900

r squared = 1156 m squared

Then square root "r" squared and then squared root 1156 m squared

r = 34 m

4. What is the length of each hypotenuse? Give your answer to the nearest tenth of a centimeter.

a)

z squared = x squared + y squared

z squared = 6 squared + 7 squared

z squared = (6 x 6) + (7 x 7)

z squared = 36 + 49

z squared = 85 cm squared

Then square root "z" squared and then square root 85 cm squared.

z = 9.21 cm

b)

d squared = b squared + c squared

d squared = 8 squared + 11 squared

d squared = (8 x 8) + (11 x 11)

d squared = 64 + 121

d squared = 185 cm squared

Then square root "d" squared and then square root 185 cm squared

d = 13.6 cm

5.

a) What is the area of each square attached?

a squared = 6 squared

a squared = 6 x 6

a squared = 36 cm squared

b squared = 8 squared

b squared = 8 x 8

b squared = 64 cm squared

b) c squared = a squared + b squared

c squared = 36 + 64

c squared = 100 cm squared

c) square root "c" squared and then square root 100 cm squared

c = 10 cm

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