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)
O 3.5
O 4.5
O 42
O 5.5
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.
Let x be the length of the third side.
Given that the two sides of the triangle measure 3.7 and 8.2, we can apply the Triangle Inequality Theorem:
3.7 + 8.2 > x
11.9 > x
Therefore, a possible measure for the third side must be less than 11.9.
Looking at the options provided, 5.5 is less than 11.9 and satisfies the Triangle Inequality Theorem.
Therefore, the possible measure of the third side is 5.5.