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

4.5
5.5
3.5
4.2

1 answer

To apply the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the two given sides are 3.7 and 8.2.

So, the sum of these two sides must be greater than the length of the third side.

3.7 + 8.2 = 11.9

Therefore, a possible measure of the third side could be any value less than 11.9.

Among the options given, the closest value to 11.9 is 11.5.

Therefore, the possible measure of the third side is 11.5.