  ##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Triangle Inequality Theorem (Grade 9)

Print Test (Only the test content will print)

## 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?
1. Yes
2. No
2.
The sum of the lengths of two sides of a triangle is greater than the length of the third side.
1. True
2. False
3.
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
1. 2, 3, 4
2. 5, 6, 9
3. 7, 2, 7
4. 7, 6, 14
4.
Which choice shows three lengths that can be the lengths of the three sides of a triangle?
1. 2, 6, 3
2. 5, 6, 11
3. 7, 2, 8
4. 7, 6, 14
5.
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
1. 7, 3, 3
2. 5, 6, 9
3. 7, 2, 7
4. 7, 6, 11
6.
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
1. 2, 3, 4
2. 5, 6, 12
3. 7, 2, 5
4. 7, 6, 12
7.
Which choice shows three lengths that cannot be the lengths of the three sides of a triangle?
1. 2, 3, 4
2. 5, 6, 9
3. 7, 7, 14
4. 7, 6, 12
8.
Which choice shows three lengths that can be the lengths of the three sides of a triangle?
1. 2, 3, 3
2. 5, 6, 11
3. 7, 2, 9
4. 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?
1. $24 \ "cm" < X \ "cm" < 8 \ "cm"$
2. $24 \ "cm" < X \ "cm" <18 \ "cm"$
3. $18 \ "cm" < X \ "cm" <24 \ "cm"$
4. $8 \ "cm" < X \ "cm" <24 \ "cm"$
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