wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

8.G.7 Pythagorean Theorem Review

Total questions: 16

Worksheet time: 48mins

Name
Class
Date
1.

The length of the diagonal of the screen of a laptop is 12.5 inches, and its width is 10 inches. What is the height?

a)

2.5 inches

b)

4.74 inches

c)

7.5 inches

d)

16.01 inches

2.

A baseball diamond is shown.

What is the shortest distance between first base and third base rounded to nearest whole number?

a)

13 feet

b)

39 feet

c)

127 feet

d)

180 feet

3.

A piece of wire 13 meters long is attached to the top of a flag pole. The other end of the wire is fixed to the ground at a distance 5 meters away from the base of the flag pole. Find the height of the flag pole.


The height of the flag pole is (a)   meters.

4.

Suki′s living room is 6 feet wide, 10 feet high, and 12 feet long.

What is the distance, in feet, from one corner of the room where it touches the floor to the opposite side where the ceiling is intersected?

(Round the answer to nearest whole number.)

a)

12 feet

b)

13 feet

c)

17 feet

d)

25 feet

5.

What is the length of the diagonal of a monitor that is 5 inches wide and 12 inches high?

a)
13 inches
b)

17 inches

c)

√17 inches

d)

8.5 inches

6.

Jack leaves from school and goes 4 miles north and 3 miles east to reach his home. How far is his home from school?

a)

√5 miles

b)

√7 miles

c)

25 miles

d)

5 miles

7.

A ramp of 13 feet in length is constructed in front of a house that is at a height of 5 feet from the ground. What is the horizontal distance between the front door and the point where the ramp touches the ground?

The horizontal distance between the front door and the point where the ramp touches the ground is (a)   feet

8.

A grocer has a block of cheese that has length 12 inches, width 4 inches and height 3 inches. Then he slices the cheese into two equal triangular prisms. What will be the length of the of the rectangular cross-section? (If necessary, round your answer to the nearest inch.)

a)

5 inches

b)

13 inches

c)

16 inches

d)

19 inches

9.

Right triangle LMN is shown.

What is the length of the hypotenuse, x, of triangle LMN?

Round your answer to three decimal places.

__.___ feet

(a)  

10.

A right rectangular prism is shown.

To the nearest thousandth of an inch, what is the length of the diagonal, d ?

Round to the nearest whole number.

a)
10
b)
12
c)
18
d)
15
11.

A right triangle has legs measuring 15 meters and 20 meters. What is the length of the hypotenuse?

a)

13 meters

b)

17 meters

c)

25 meters

d)

35 meters

12.

A right triangle has a leg measuring 24 units and a hypotenuse measuring 25 units. What is the length of the other leg?

a)

7 units

b)

9 units

c)

35 units

d)

49 units

13.

A land surveyor uses this diagram to find x, the length of a lake.

Find the missing length, x.

If necessary round to the nearest tenth.

a)

10 km

b)

12 km

c)

15 km

d)

20 km

14.

A 22-foot ladder leans against a shed, reaching a height of x feet. The base of the ladder is 10 feet from the shed.

Find the missing length, x. If necessary round to the nearest tenth.

a)

15 feet

b)

20 feet

c)

18.5 feet

d)

19.6 feet

15.

Find the missing length.

Round to the nearest tenth if necessary.

a)
20.5 ft
b)
28.3 ft
c)

25.9 ft

d)

33.5 ft

16.

What is the height, h, of the isosceles trapezoid?

Round to the nearest whole number if necessary.

a)
20
b)
12
c)
15
d)
10