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)

Question

Responses

5.5
5.5

4.2
4.2

3.5
3.5

4.5

Answer 1

To find a possible measure of the third side of the triangle, we need to determine whether the sum of the two given sides is greater than the third side.

Given sides: 3.7 and 8.2

3.7 + 8.2 = 11.9

In order for the triangle to be valid, the sum of the two given sides must be greater than the third side.

11.9 > x, where x is the measure of the third side

So, a possible measure of the third side could be slightly less than 11.9, such as 5.5.

Therefore, the answer is 5.5.