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 5.5 5.5 4.5 4.5 4.2
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.
In this case, if two sides of the triangle measure 3.7 and 8.2, and we want to find a possible measure of the third side, we can compare the sum of the two known sides to the unknown third side.
3.7 + 8.2 = 11.9
So, any possible measure of the third side must be less than 11.9 but greater than the difference of the two known sides. Therefore, a possible measure of the third side could be 4.5.