wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pythagorean Theorem Triangle

Total questions: 28

Worksheet time: 29mins

Name
Class
Date
1.

The Pythagorean Theorem ONLY works on which triangle?

a)

The Pythagorean Theorem works with all triangles.

b)

The Pythagorean Theorem ONLY works with Obtuse triangles.

c)

The Pythagorean Theorem ONLY works with Isosceles triangles.

d)

The Pythagorean Theorem ONLY works with Right triangles.

2.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
3.

When separated from the hypotenuse, what type of angle do the legs form?

a)

They form an Acute angle.

b)

They form an Obtuse angle.

c)

They form a Reflexive angle.

d)

They form a Right angle.

4.

Find the length of the missing side.

a)

48

b)

108

c)

83.6

d)

72

5.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
6.
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
7.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
8.

What is the opposite of squaring a number?

a)

Dividing

b)

Multiplying

c)

Using the reciprocal

d)

Square root

9.
What is the formula for finding the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a-b=c
d)
c-a=c
10.

a = 2.1, b = 7.2, c = 7.5

Is this a right triangle?

a)

Yes, this is a Right triangle.

b)

No, this is not a Right triangle.

11.
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
12.
What is the distance from the base of the house to the base of the ladder?
a)
25 m
b)
5 m 
c)
313 m 
d)
17.7 m
13.

What is the side of a triangle that is not perpendicular to the 2 others called?

a)

This side would be called the square.

b)

This side would be called the arm.

c)

This side would be called the leg.

d)

This side would be called the hypotenuse.

14.

Find the length of the missing side.

a)

20 Inches

b)

68 Inches

c)

16 Inches

d)

80 Inches

15.
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
16.

Is the missing side of the triangle a leg or hypotenuse?

a)

Leg

b)

Hypotenuse

17.

Is the missing side of the triangle a leg or hypotenuse?

a)

Leg

b)

Hypotenuse

18.

Is the missing side of the triangle a leg or hypotenuse?

a)

Leg

b)

Hypotenuse

19.

What formula should you use to find the length of the missing side?

a)

b x a = c

b)

a2 + b2 = c2

c)

c2 - b2 = a2

d)

a + b = c

20.

What formula should you use to find the length of the missing side?

a)

a2 + b2 = c2

b)

b x a = c

c)

a + b = c

d)

c2 - b2 = a2

21.

If the hypotenuse of a triangle is 40, what does that mean in the Pythagorean Theorem?

a)

a = 40

b)

b = 40

c)

c = 40

d)

a2 + b2 = 40

22.

Define the term 'right angle'.

a)

Three angles in a Right triangle.

b)

Any angle less than 90 degrees.

c)

When two angles in a triangle are 90 degrees when added up.

d)

A 90 degree angle.

23.

What is a Pythagorean Triple?

a)

When all three sides of a right triangle are whole numbers.

b)

Three sides are equal lengths.

c)

Two sides are equal in length.

d)

When you add every number together to find the missing length.

24.

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.

25.

What letter represents the hypotenuse in the Pythagorean Theorem?

a)

a

b)

b

c)

c

d)

a and b

26.

What letter represents the legs in the Pythagorean Theorem?

a)

a

b)

b

c)

c

d)

a and b

27.

The first Pythagorean Triple is...

a)

1 - 2 - 3

b)

3 - 4 - 5

c)

1 - 1 - 2

d)

2 - 3 - 4

28.

Do you think you did good?

a)

"cLeArLy i'M aN iNtElLeCtUaL." -payton

b)

sure

c)

please help me

d)

:/ owo

e)

this doesnt apply to me because im a gAmEr