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 3.5 3.5 4.2 4.2 4.5
According to 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.
Let's label the sides of the triangle as follows:
Side A = 3.7
Side B = 8.2
Side C = unknown
Using the Triangle Inequality Theorem, we have the following inequalities:
A + B > C
3.7 + 8.2 > C
11.9 > C
Therefore, a possible measure of the third side, side C, could be any value greater than 11.9. From the given response options, the closest value to 11.9 is 12, but that is not listed. Among the other options, we can select 4.5 as a possible measure for the third side.