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Pythagorean Theorem

Total questions: 25

Worksheet time: 2hrs 8mins

Name
Class
Date
1.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
2.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
3.

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

a)

32

b)

37

c)

19

d)

20

4.

What is the name for side c?

a)

head

b)

body

c)

hippopotamus

d)

hypotenuse

5.
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
6.
a)

The diagonal is 26 ft

b)

The diagonal is 31 ft

c)

The diagonal is 21.8 ft

d)

The diagonal is 20.9 ft

7.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
8.
Find the missing side
a)
√29.2
b)
√400
c)
√20
d)
√10
9.

Sides a and b are called legs.

a)

true

b)

false

10.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
11.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

12.
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
13.

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

14.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a2 + b2 = c2

15.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

16.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

17.

Find side "h" (wall height)

a)

35.60

b)

35.00

c)

35.71

d)

61.03

18.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
19.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
20.

Find the missing side

a)

11

b)

61

c)

61\sqrt{61}

d)

11\sqrt{11}

21.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
22.
solve for the value of y
a)
13
b)
5
c)
23
d)
10
23.
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
24.

Find x.

a)

40

b)

11

c)

44

d)

77

25.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10