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Pythagorean Theorem

Total questions: 40

Worksheet time: 22mins

Name
Class
Date
1.

The bottom of a ladder must be placed 3 feet from a wall. The ladder is 10 feet long. How far above ground does the ladder touch the wall?

(a)  

2.

How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12-foot wall?

(a)  

3.

Two legs of a right triangle are 8 and 12. Find the hypotenuse.

(a)  

4.

The bottom of a ladder is placed 6 feet from the bottom of a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder?

(a)  

5.

Find the missing side of each triangle.

(a)  

6.

Find the missing side of each triangle.

(a)  

7.

Find the missing side of each triangle.

(a)  

8.

Find the missing side of each triangle.

(a)  

9.

Find the missing side of each triangle. Given a right triangle with sides 45 m and 108 m, find the length of the missing side

(a)  

10.

Find the missing side of each triangle. Given a right triangle with sides 180 cm and 33 cm, find the length of the missing side

(a)  

11.

Find the missing side of each triangle. Given a right triangle with sides 120 in and 50 in, find the length of the missing side

(a)  

12.

Find the missing side of each triangle. Given a right triangle with sides 150 km and 80 km, find the length of the missing side

(a)  

13.

Find the missing side of each triangle.

(a)  

14.

Find the missing side of each triangle.

(a)  

15.

Find the missing side of each triangle.

(a)  

16.

Find the missing side of each triangle.

(a)  

17.

Find the missing side of each triangle.

(a)  

18.

Find the missing side of each triangle.

(a)  

19.

Find the missing side of each triangle.

(a)  

20.

Find the missing side of each triangle.

(a)  

21.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

22.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

23.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

24.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

25.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

26.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

27.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

28.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

29.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

30.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

31.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

32.

Classify the following triangle as acute, obtuse, or right.

a)

Acute

b)

Obtuse

c)

Right

33.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 5 yd, 12 yd, 13 yd.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

34.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 6 ft, 7 ft, 10 ft.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

35.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 6 cm, 12 cm, 13 cm.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

36.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 14 ft, 12 ft, 15 ft.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

37.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 8 in, 7 in, 15 in.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

38.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 6 km, 8 km, 10 km.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

39.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 3 yd, 4 yd, 6 yd.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle

40.

Classify the following side lengths as acute, obtuse, right, or not a triangle: 11 in, 12 in, 23 in.

a)

Acute

b)

Obtuse

c)

Right

d)

Not a triangle