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 3.5 3.5 4.2 4.2 5.5 5.5 4.5
Based on the Triangle Inequality Theorem, the third side of the triangle must be shorter than the sum of the other two sides and longer than the absolute difference between the other two sides.
In this case, the sum of the two given sides is 3.7 + 8.2 = 11.9, and the absolute difference is |3.7 - 8.2| = 4.5.
Therefore, the possible measure of the third side should be greater than 4.5 and less than 11.9.
From the given responses, 5.5 falls within this range, making it a possible measure of the third side.