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Find the Length of the Hypotenuse

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Calculate the length of the hypotenuse. Round to the nearest tenth.

a)

23.1 cm

b)

30.4 cm

c)

41 cm

d)

1681 cm

2.

What is the formula used to solve the value of the hypotenuse?

a)

a2+b2=c2

b)

a+b=c

c)

a2-b2=c2

d)

c-a=c

3.

Which equation will help you find the length of c?

a)

272142=c227^2-14^2=c^2

b)

142272=c214^2-27^2=c^2

c)

142+272=c214^2+27^2=c^2

d)

142+c2=27214^2+c^2=27^2

4.

Which equation will help you find the length of c?

a)

192172=c219^2-17^2=c^2

b)

192+172=c219^2+17^2=c^2

c)

22=c22^2=c^2

d)

362=c236^2=c^2

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

8.5 ft.

b)

10.5 ft.

c)

9.5 ft.

d)

13.5 ft.

7.
a)

32.5 ft

b)

40 ft.

c)

31 ft.

d)

33.5 ft.

8.
a)

8.5 ft

b)

10.5 ft

c)

9.5 ft

d)

13.5 ft

9.

Find the hypotenuse

10.

The hypotenuse of the following triangle measures

a)

28

b)

23

11.

Find the value of x.

12.

What is the diagonal measure of the rectangle shown?

(Type your answer as a number only)

13.

Find the missing side

14.

Two children are trying to cross a stream. They want to use a log that goes from one bank to the other. If the left bank is 9 feet higher than the right bank and the stream is 12 feet wide, how long must a log be to just barely reach?

a)

15 feet

b)

13 feet

c)

12 feet

d)

8 feet

15.

What is the length of x? Round to the nearest tenth.

a)

5

b)

7

c)

8

d)

25

16.

Find the length of the missing side. Round to the nearest tenth.

a)

9

b)

41

c)

6.4

d)

6.2

17.

Calculate the missing length. Round to the nearest tenth.

a)

529 in

b)

23 in

c)

17 in

d)

4.8 in

18.

Find the missing length. Round to the nearest tenth.

a)

196 cm

b)

36 cm

c)

9.2 cm

d)

10.8 cm

19.

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally? Round to the nearest tenth.

a)

5 m

b)

8.7 m

c)

43.3 m

d)

55.9 m

20.

Daniel is using a ladder to clean the outside of his 2nd floor windows. He needs to reach a window 20 feet above the ground, but doesn't want to damage the garden that is 13 feet from the house. How long a ladder does he need? Round to the nearest tenth.

a)

23.9 ft.

b)

33 ft.

c)

49 ft.

d)

284.5 ft.