# 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?

## Example #2

Do these three segments create a triangle?

Do these three segments create a triangle?

Do these three segments create a triangle?

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)

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