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Pythagorean Theorem Practice

Total questions: 25

Worksheet time: 2hrs 12mins

Name
Class
Date
1.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
2.
The length of the hypotenuse of a right triangle is 13 cm. If one leg measures 12 cm, how long is the other leg?
a)
2 cm
b)
5 cm
c)
25 cm
d)
18 cm
3.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
4.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
5.
What is the length of the missing leg? Round to the nearest tenth.
a)
2.0 in
b)
11.4 in
c)
5.7 in
d)
5.6 in
6.
The legs of a right triangle measure 5 and 7 inches. What is the length of the hypotenuse? Round to the nearest tenth.
a)
8.6 in
b)
8.7 in
c)
4 in
d)
4.9 in
7.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
8.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled to the nearest mile?

a)

17 miles

b)

36 miles

c)

37 miles

d)

40 miles

9.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be, rounded to the nearest foot?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

10.

A ladder is placed 5 ft from the wall. If the ladder is a 13 ft ladder, then how many feet above the ground is the ladder touching the wall, rounded to the nearest tenth of a ft?

a)

12.5

b)

12.0

c)

11.9

d)

11.8

11.

What is the area of the triangle above to the nearest square unit? (Remember, the area of a triangle is 1/2bh)

a)

14 un2

b)

84 un2

c)

78 un2

d)

49 un2

e)

70 un2

12.

What is the length of the hypotenuse, rounded to the nearest tenth?

a)

14.4 units

b)

111.7 units

c)

10.5 units

d)

10.6 units

13.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
14.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
15.
Find the missing side
a)
9
b)
26.9
c)
37
d)
18.2
16.

Two sides of a triangle measure 10 in., and 6 in. Which of the following choices could be the length of the third side?

a)

4 in

b)

7 in

c)

8 in

d)

9 in

17.

What is the approximate angle of elevation from the base of the tree to the roof line of the house?

a)

53.13 degrees

b)

36.87 degrees

c)

30.96 degrees

d)

90 degrees

18.

The diagram shows the side view of a ramp used to help load and unload a moving van. Which measurement is closest to the length of the ramp in feet?

a)

8.5 ft

b)

10.5 ft

c)

9.5 ft

d)

13.5 ft

19.

a= 12, b= 35, c= ? Find c

a)

32

b)

37

c)

19

d)

20

20.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
21.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
22.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
23.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
24.
If one leg of a right triangle is 12 and the other leg is 16.  What is the length of the hypotenuse of this right triangle?
a)
20
b)
10.6
25.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards