Question

Two sides of a triangle measure 3.7 and 8.2. Apply the Triangle Inequality Theorem to find a possible measure of the third side.(1 point)
Responses

5.5
5.5

3.5
3.5

4.2
4.2

4.5
4.5

Answer 1

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, a possible measure of the third side would be between 8.2 - 3.7 = 4.5 and 8.2 + 3.7 = 11.9.

Based on the options given, the possible measure of the third side would be 4.5.