# Triangle Inequality Theorem (Grade 9)

Print Test
(Only the test content will print)

Name: | Date: |
---|

## Triangle Inequality Theorem

**Instructions:**
Use your knowledge of the triangle inequality theorem to answer the following questions.

1.

Is it possible for a triangle to have sides with the lengths 2 inches, 3 inches, and 6 inches?

- Yes
- No

2.

The sum of the lengths of two sides of a triangle is greater than the length of the third side.

- True
- False

3.

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

- 2, 3, 4
- 5, 6, 9
- 7, 2, 7
- 7, 6, 14

4.

Which choice shows three lengths that can be the lengths of the three sides of a triangle?

- 2, 6, 3
- 5, 6, 11
- 7, 2, 8
- 7, 6, 14

5.

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

- 7, 3, 3
- 5, 6, 9
- 7, 2, 7
- 7, 6, 11

6.

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

- 2, 3, 4
- 5, 6, 12
- 7, 2, 5
- 7, 6, 12

7.

Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?

- 2, 3, 4
- 5, 6, 9
- 7, 7, 14
- 7, 6, 12

8.

Which choice shows three lengths that can be the lengths of the three sides of a triangle?

- 2, 3, 3
- 5, 6, 11
- 7, 2, 9
- 7, 6, 14

9.

A triangle has one side that is 8 cm and another that is 16 cm. What is the range of possible measurements for the third side X?

- [math]24 \ "cm" < X \ "cm" < 8 \ "cm"[/math]
- [math]24 \ "cm" < X \ "cm" <18 \ "cm" [/math]
- [math]18 \ "cm" < X \ "cm" <24 \ "cm" [/math]
- [math]8 \ "cm" < X \ "cm" <24 \ "cm" [/math]

10.

What is the triangle inequality theorem?

You need to be a HelpTeaching.com member to access free printables.

Already a member? Log in for access. | Go Back To Previous Page

Already a member? Log in for access. | Go Back To Previous Page