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Pythagorean Theorem

Total questions: 40

Worksheet time: 1hrs 20mins

Name
Class
Date
1.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
2.
What is the opposite of squaring a number?
a)
divide
b)
multiply 
c)
fractions
d)
square root
3.
The Pythagorean Theorem is
a2 + b2 + c2
a)
false
b)
true
4.
The Pythagorean Theorem is
a2 + b3 = c4
a)
false
b)
true
5.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
6.

Its faster to take the hypotenuse route to school than to walk the other blocks.

True or False.

a)

True

b)

False

7.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
8.
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
9.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
10.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
11.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
12.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

13.

Find h

a)

35.60

b)

60.00

c)

35.71

d)

61.03

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.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
16.
Would a triangle with these side lengths be a right triangle?
4, 5, 6
a)
Yes
b)
No
17.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
18.
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
19.
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
20.

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

a)

5

b)

7

c)

10

d)

12

21.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
22.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field and back. How far does he walk? Round your answer to the nearest tenth.

a)

111.8 yards

b)

300 yards

c)

127.3 yards

d)

223.6 yards

23.

What is the length of the hypotenuse? Round your answer to the nearest tenth.

a)

33.5 cm

b)

45.3 cm

c)

6.7 cm

d)

15 cm

24.

Sides a and b are called legs.

a)

true

b)

false

25.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
26.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

27.

c= 97, b= 72, a=?

a)

35

b)

75

c)

65

d)

55

28.
Which set of side lengths does not form a right triangle?
a)
38, 80, 90
b)
16, 63, 65
c)
36, 77, 85
d)
14, 15, 29
29.
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
30.

Which equation reflects the right triangle shown?

a)

x2 + 142 = 202

b)

142 + 202 = x2

c)

142 – 202 = x2

d)

x2 – 142 = 202

31.

Find the length of RU. Round to the nearest tenth. Just enter the number - don't enter units.

(a)  

32.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

33.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

34.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

35.

When do we use the Pythagorean Theorem?

a)

To find a missing angle in a right triangle

b)

To find the missing length of a right triangle

c)

To find the area of a right triangle

d)

To find the slope of a right triangle

36.

Define the term 'right angle'

a)

Three angles in a right triangle

b)

When two angles in a triangle are 90 degrees

c)

Any angle less than 90 degrees

d)

A 90 degree angle

37.

Find the value of z. Round your answer to the nearest tenth.

a)

23.4

b)

24

c)

23

d)

23.43

38.

Find the value of b. Round your answer to the nearest hundredth.

a)

7.94

b)

7.93

c)

7

d)

7.9

39.

Find the value of x. Round your answer to the nearest tenth.

a)

23.5 cm

b)

24.5 cm

c)

25.5 cm

d)

26 cm

40.

Find the value of x.

a)

75

b)

68.9

c)

76

d)

70

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