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 4.5 3.5 3.5 4.2 4.2 5.5
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, if two sides of the triangle measure 3.7 and 8.2, the third side must fall within the range of (8.2 - 3.7) < x < (8.2 + 3.7).
Calculating this inequality, we get:
4.5 < x < 11.9
Therefore, a possible measure for the third side could be 4.2.