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 5.5 5.5 3.5 3.5 4.2 4.2
To use 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 measure 3.7 and 8.2.
We can try adding these lengths to the possible measures given as options to see if they fulfill the inequality:
3.7 + 4.5 = 8.2 (equal to the third side) - Not valid
3.7 + 5.5 = 9.2 (greater than the third side) - Not valid
3.7 + 3.5 = 7.2 (less than the third side) - Not valid
3.7 + 4.2 = 7.9 (greater than the third side) - Not valid
Therefore, based on the options provided, a possible measure of the third side could be 5.5.