Triangle Inequality: Theorem & Proofs


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question 1 of 3

Can we form a triangle with line segments that have lengths of 5, 6, and 9 units?

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1. Fill in the blanks: According to the triangle inequality theorem, any side of a triangle must be _____ ____ the other two sides of the triangle combined.

2. Can we form a triangle with line segments that have lengths 2, 8, and 14 units?

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About This Quiz & Worksheet

This quiz and worksheet will help you judge how much you know about the triangle inequality theorem. Get ready to apply your knowledge to find the solutions to the problems within this quiz.

Quiz & Worksheet Goals

Use your knowledge of the triangle inequality theorem to answer questions about:

  • Possible lengths for the line-segments of triangles
  • Whether it is possible to make a triangle from certain lines
  • Statements about triangles

Skills Practiced

This quiz is an excellent opportunity for you to practice the following abilities:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on triangle inequality
  • Interpreting information - verify that you can read statements regarding triangles and interpret them correctly
  • Information recall - access the knowledge you've gained regarding what the triangle inequality theorem tells us about the sides of a triangle

Additional Learning

Keep building on what you know about this subject with the help of the lesson entitled Triangle Inequality: Theorem & Proofs. Complete this lesson to learn more about:

  • Limits on the creation of triangles
  • How the triangle inequality theorem can be satisfied
  • The method for proving this theorem is true