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Triangle Inequality Theorem (Grade 9)

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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. [math]24 \ "cm" < X \ "cm" < 8 \ "cm"[/math]
  2. [math]24 \ "cm" < X \ "cm" <18 \ "cm" [/math]
  3. [math]18 \ "cm" < X \ "cm" <24 \ "cm" [/math]
  4. [math]8 \ "cm" < X \ "cm" <24 \ "cm" [/math]
10. 
What is the triangle inequality theorem?



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