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
4.2
4.2
4.5
4.5
3.5
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.
In this case, the two sides measure 3.7 and 8.2. The possible measure of the third side can be found by adding the two given side lengths and subtracting it from the sum of all three sides:
3.7 + 8.2 + x > 2x
11.9 > x
So, a possible measure for the third side is 11.9.
Therefore, the correct answer is 11.9.