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 4.2 5.5 4.5 3.5
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, if the two sides of the triangle measure 3.7 and 8.2, a possible measure for the third side must be greater than the difference between these two sides (8.2 - 3.7 = 4.5) and less than the sum of these two sides (8.2 + 3.7 = 11.9).
The possible measure for the third side is between 4.5 and 11.9.
So, the correct response is: 5.5.