Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pythagorean Theorem

Total questions: 40

Worksheet time: 2hrs 0mins

Name
Class
Date
1.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true
2.

Sides a and b are called legs.

a)

true

b)

false

3.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

4.

Level 1

The Pythagorean Theorem is

a2 + b2 + c2

a)

false

b)

true

5.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

6.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

7.

Level 2

Do the segment lengths 15, 12, and 9 form a right triangle?

a)

Yes

b)

No

8.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

9.

Level 3

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

10.

Level 4

Solve for x.

a)

38.9

b)

40.2

c)

45.6

d)

54

11.

Level 4

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)

23 feet

b)

26 feet

c)

27 feet

d)

22 feet

12.
a2 + b2 = c2
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
13.
a2 + b2 = c2
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
14.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
15.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
16.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi
a)
acute
b)
obtuse
c)
right
17.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
18.
State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in
a)
acute
b)
obtuse
c)
right
19.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
20.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
21.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
a)
yes 
b)
no
22.
Find the measure of h.
a)
13
b)
20
c)
9.7
d)
10
23.
Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?
a)
yes
b)
no
24.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
25.
Which set of side lengths form a right triangle?
a)
3, 4, 7
b)
33, 56, 65
c)
66, 72, 97
d)
10, 15, 25
26.
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
27.
If the legs of a right triangle are 10 and 24, then the hypotenuse is __________.
a)
21
b)
19
c)
26
d)
30
28.
Is this triangle a right triangle?
a)
yes
b)
no
29.
If the sides of a triangle are 7, 24, and 25, is it a right triangle?
a)
yes
b)
no
30.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
31.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
32.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
33.

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?(hint: add all #'s)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

34.
Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25
a)
Yes
b)
No
35.
Determine if the following set of numbers are Pythagorean Triples.
18, 73, 75
a)
Yes
b)
No
36.
If 36 and 48 are the two smaller numbers in a Pythagorean Triple, what is the third number?
a)
45
b)
50
c)
55
d)
60
37.
Does the set of numbers represent a Pythagorean Triple.
15, 20, 25
a)
Yes
b)
No
38.
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
39.
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
40.

Solve for c.

a)

4

b)

45

c)

4√2

d)

4√3