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Triangle Inequality Theorem

Author:Michal Grissom
Connect the vertices of the three segments to try and create a triangle. (Hint: start with the longest segment as the base). Then answer the questions below.

Example #1

Do these three segments create a triangle?

Select all that apply
  • A
  • B
Check my answer (3)

Example #2

Do these three segments create a triangle?

Select all that apply
  • A
  • B
Check my answer (3)

Do these three segments create a triangle?

Select all that apply
  • A
  • B
Check my answer (3)

Do these three segments create a triangle?

Select all that apply
  • A
  • B
Check my answer (3)

Look at the lengths of the segments that did create a triangle. What do you notice?

Look at the lengths of the segments that did NOT create a triangle. What do you notice?

Write a rule that would allow you to determine if any set of measurements (a, b, and c) will form a triangle. (Let c be the longest side)

Check my answer
Look back at example #2, does this rule work?

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