Triangle Inequality Theorem
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?