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Mastering the Pythagorean Theorem

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.

Find the length of the missing side. 

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

2.

Find the length of the missing side. 

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

3.

Is this a right triangle?

a)

Yes

b)

No

4.

Is this a right triangle?

a)

Yes

b)

No

5.

Which of the following triangles is a right triangle?

a)

A triangle with sides 3, 4, and 5

b)

A triangle with sides 5, 5, and 5

c)

A triangle with sides 6, 8, and 10

d)

A triangle with sides 7, 24, and 25

6.

Calculate the length of the hypotenuse of a right triangle with legs of length 9 and 12.

a)

15

b)

16

c)

225\sqrt{225}

d)

18

7.

A ladder is leaning against a wall. The base of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet on the wall. How long is the ladder?

a)

10 feet

b)

12 feet

c)

14 feet

d)

15 feet

8.

If a right triangle has a hypotenuse of length 13 and one leg of length 5, what is the length of the other leg?

a)

10

b)

12

c)

8

d)

9

9.

A square has a diagonal of length 10. What is the length of each side of the square?

a)

5

b)

5 2\sqrt{2}

c)

7

d)

5 3\sqrt{3}

10.

Which of the following sets of side lengths can form a right triangle?

a)

8, 15, 17

b)

9, 12, 15

c)

7, 24, 26

d)

10, 24, 26

11.

A rectangular park is 60 meters long and 80 meters wide. What is the length of the diagonal path across the park?

a)

100 meters

b)

90 meters

c)

110 meters

d)

120 meters

12.

A right triangle has one leg that measures 7 units and a hypotenuse that measures 25 units. What is the length of the other leg?

a)

24

b)

18

c)

20

d)

21

13.

In a right triangle, the lengths of the legs are 5 and 12. What is the length of the hypotenuse?

a)

13

b)

14

c)

15

d)

16

14.

A kite is flying at a height of 30 meters, and the string is anchored 40 meters away from the point directly below the kite. How long is the string?

a)

50 meters

b)

60 meters

c)

70 meters

d)

80 meters

15.

A right triangle has a hypotenuse of length 20 and one leg of length 16. What is the length of the other leg?

a)

12

b)

15

c)

18

d)

10