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.
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 denote the unknown measure of the third side as x.
So, the Triangle Inequality Theorem states that:
3.7 + 8.2 > x
Simplifying this inequality:
11.9 > x
Therefore, a possible measure of the third side, x, is any value less than 11.9.