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Pythagorean Theorem in Shapes

Total questions: 16

Worksheet time: 16mins

Name
Class
Date
1.

What is the distance from the base of the house to the base of the ladder?

a)

25 m

b)

5 m 

c)

313 m 

d)

17.7 m

2.

What is the length of the pencil in the cylinder if the height is 12 inches and the diameter of the base is 10 inches?

a)

15.6 in.

b)

6.6 in.

c)

44 in.

d)

16 in.

3.

Determine the height of the cylinder. Round to the nearest tenths place.

a)

7.4

b)

11.5

c)

14.3

d)

11.0

e)

14.6

4.

Find the length of the slant height for edge AV. (HINT:The altitude height of the pyramid is 12 meters.)

a)

10.9

b)

119\sqrt{119}

c)

13

d)

169

5.

Find the value of x.

6.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

7.

Find the length of the missing side. 

a)

48 in.

b)

52 in.

c)

16 in.

d)

24 in.

8.

Find the missing length.

a)

12

b)

10

c)

16

d)

5

9.

Find the value of x. Round your answer to the nearest tenth.

10.

Solve for the length indicated.

a)

9

b)

10

c)

11

d)

12

11.

Find the missing side

a)

48

b)

108

c)

83.6

d)

72

12.

Solve for the variable x.

a)

x = 7.2

b)

x = 9

c)

x = 12

d)

x = 9.6

13.

Find the missing length indicated. Leave your answer in simplest radical form.

a)

64

b)

12

c)

9

d)

100

14.

Find the missing length.

a)

15

b)

11

c)

35

d)

8

15.

Solve for the length indicated.

a)

1

b)

2

c)

3

d)

4

16.

Find the missing variable. Show your work. Round to the nearest hundredths place.

a)

22.96

b)

22.00

c)

524.41

d)

28.60