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Pythagorean Theorem Practice

Total questions: 20

Worksheet time: 3hrs 17mins

Name
Class
Date
1.
The longest side of a triangle is always the...
a)
hypotenuse
b)
leg
c)
right angle
d)
base
2.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
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 value of x?
a)
9 in
b)
19 in
c)
81 in
d)
none of these
6.
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
7.
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
8.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
9.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
10.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
11.

What is the side of a right triangle across from the right angle called?

a)

square

b)

arm

c)

leg

d)

hypotenuse

12.

The Pythagorean Theorem ONLY works on which type of triangle?

a)

obtuse

b)

acute

c)

right

13.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. Approximately how long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

14.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

15.
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
16.
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?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
17.

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

18.

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

19.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

20.
What is the diagonal length of the iPad?
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in