wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pythagorean Theorem

Total questions: 32

Worksheet time: 35mins

Name
Class
Date
1.
side a on a right triangle is ALWAYS the longest side
a)
true
b)
false
2.

What is the longest side of a right triangle called?

(a)  

3.

How do you cancel out the square when solving using Pythagorean Theorem?

a)

Divide

b)

Subtract

c)

Square Root

d)

Multiply

4.

Find the length of the missing side. 

(a)  

5.

Find the length of the missing side. 

(a)  

6.

Find the missing side

(a)  

7.

Find the length of the missing side.

(a)  

8.

Solve for c

(a)  

9.

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)  

10.

The Pythagorean Theorem is (a)  

11.

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

12.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

13.

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

14.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

15.

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

16.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

17.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

18.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
19.
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
20.
a2 + b2 = c2
a = 9 b = 40
a)
c = 41
b)
c = 65
c)
c = 25
d)
c = 5
21.
a2 + b2 = c2
b = 35 c = 37
a)
a = 12
b)
a = 11
c)
a = 18
d)
a = 14
22.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
23.
side a on a right triangle is ALWAYS the longest side
a)
true
b)
false
24.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
25.
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
26.
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
27.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
28.
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
29.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
30.
The size of a television screen is measured by the length of the diagonal of the screen.  What size is a television screen that is 3 feet tall and 6 feet wide?
a)
18
b)
6.7
31.
Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 
a)
5
b)
7
c)
10
d)
12
32.
a)
G
b)
O
c)
E
d)
X