Free Printable Similar Triangles

Worksheets

Similar Triangles

Total questions: 25

Worksheet time: 43mins

Name

Class

Date

what is the formula for finding the hypotnuse?

a²⁺b²=c²

a+b=c

a-b=c

c-a=c

What is the length of x?

Acute, right, or obtuse

Acute

Right

Obtuse

I don't know

Find the value of y.

2√3

8√3

Find the value of y.

18√2

9√2

(9√2)/2

Find the value of x.

3 sqrt(2)

6 sqrt(2)

I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?

Multiply by √2

Divide by √2

It's the same length as the hypotenuse.

Divide by 2

I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?

Multiply 4 by 2

Multiply 4 by √3

Multiply 4 by √2

Divide 4 by √3

Which side is the short leg in this 30-60-90 triangle?

10.

I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?

Multiply 6 by 2

Multiply 6 by √3

Divide 6 by 2

Divide 6 by √3

11.

I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?

Multiply 7 by 2

Multiply 7 by √3

Divide 7 by 2

Divide 7 by √3

12.

What type of special triangle is this?

45°-45°-90°

30°-60°-90°

Equiangular

Equilateral

13.

What type of special triangle is this?

45°-45°-90°

30°-60°-90°

Isosceles

Obtuse

14.

Use Pythagorean Theorem to solve for x.

11.66

15.

Simplify:

√12

(4√3)/3

√3

(2√3)/3

16.

Simplify:

√4√12

4√12

4√3

2√3

17.

Level 1

The Pythagorean Theorem ONLY works on which triangle?

obtuse

scalene

isosceles

right

18.

What is the distance from Sanjiv's office to the University?

6 miles

12 miles

$6\sqrt{3}$ miles

$12\sqrt{3}$ miles

19.

What is the distance from the University to Nancy's house ?

4 miles

6 miles

$4\sqrt{3}$ miles

$12\sqrt{3}$ miles

20.

Find x. Round to the 10ths place (one decimal place) if necessary.

(a)

21.

What is the height of the TV? Round to the 10ths place (one decimal place) if necessary.

(a)

22.

A ramp on a moving truck makes a $30\degree$ angle with the ground. What is the length of the ramp if it is 5 ft tall? Round to the 10ths place (one decimal place) if necessary.

(a)

23.

Which set of numbers are possible lengths of a right triangle?

I only

I, II, & IV only

III only

I and IV only

24.

25.

6√2

6√3

100 %

Similar Triangles

Total questions: 25

Worksheet time: 43mins

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