wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

MATH 8 8G6, 8G7 Pythagorean Theorem

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

Find the missing side length, x, in the right triangle. Round to the nearest whole number.

a)

40

b)

8

c)

18

d)

29

2.

Ja'Mea's has a square coffee table with an area of 4 ft2. What is the diagonal length of the coffee table top? Round to the nearest whole number.

a)

5ft

b)

6ft

c)

2 ft

d)

3 ft

3.

Which of the following is a true statement about the sides of a right triangle?

a)

Leg b is the longest side.

b)

The hypotenuse is one of the sides that forms the right angle.

c)

The longest side is the hypotenuse.

d)

Leg a is diagonally across from the right angle.

4.

The three squares below join together to form a right triangle. The area and the perimeter for two of the squares is shown. Find the side length of the largest square. Round to the nearest tenth.

(a)  

5.

Find the perimeter of the isosceles triangle. Round to the nearest whole number.

(a)  

6.

Which of the following could not be the side lengths of a right triangle?

a)

6, 8, 10

b)

10, 24, 26

c)

0.8, 1.2, 1.5

d)

7, 9, 14

7.

Israel needs to know if the triangle shown is a right triangle. Which equation could he use to help?

a)

√("29" ) + √("40" ) = √("53" )

b)

29 + 40 = 53

c)

292 + 402 = 532

d)

402 - 292 = 532

8.

DeMarcus typically walks 33 yards south on Clayton Street and 56 yards east on Third Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?

a)

23 yards

b)

45 yards

c)

65 yards

d)

9 yards

9.

Aaliyah's tile on her kitchen is made up of square shaped tiles like the one shown below. The tiles are white with a black diagonal stripe. Which of the following would help her find x, the length of the black stripe?

a)

6 + 6 = x

b)

62 + 62 = x

c)

62 + 62 = x2

d)

√("6" ) + √("6" ) = x

10.

Find x, the missing side length of the right triangle. Round to the nearest tenth.

a)

11.2

b)

11.1

c)

8.6

d)

8.7