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)
5.5
4.5
4.2
3.5
To apply 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 call the unknown length of the third side "x".
According to the Triangle Inequality Theorem, we have the following inequality:
3.7 + 8.2 > x
Simplifying the expression, we have:
11.9 > x
Therefore, a possible measure of the third side (x) should be less than 11.9.
Among the given options, the only value that is less than 11.9 is 4.2.
Thus, a possible measure of the third side is 4.2.