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8.6C, 8.7CD - Pythagorean Theorem

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

If a right triangle has legs of lengths 3 and 4, what is the length of the hypotenuse?

a)

5

b)

6

c)

7

d)

8

2.

A triangle has sides of lengths 6, 8, and 10. Is this triangle a right triangle?

a)

Yes, because 62+82=1026^2 + 8^2 = 10^2

b)

No, because 62+821026^2 + 8^2 \neq 10^2

c)

Yes, because 6+8=106 + 8 = 10

d)

No, because 6+8106 + 8 \neq 10

3.

A ladder is leaning against a wall. The foot of the ladder is 9 feet away from the wall, and the ladder reaches a height of 12 feet on the wall. How long is the ladder?

a)

15 feet

b)

16 feet

c)

18 feet

d)

20 feet

4.

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

a)

10

b)

11

c)

12

d)

13

5.

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

a)

7, 24, 25

b)

8, 15, 22

c)

9, 12, 20

d)

10, 14, 18

6.

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

a)

5

b)

525\sqrt{2}

c)

7

d)

727\sqrt{2}

7.
Which equation is modeled by the picture shown?
a)
32+52=42
b)
32+42=52
c)
52+42=32
d)
92+162=252
8.

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

a)

The sum of the areas of square A and square C is equal to the area of square B.

b)

The sum of the areas of square B and square C is equal to the area of square A.

c)

The sum of the areas of square of C and Square B and square A equal to the area of square C.

d)

The sum of the areas of square A and Square B is equal to the area of square C.

9.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

10.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10