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
4.5
4.5
3.5
3.5
4.2
4.2
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.
In this case, the two sides of the triangle measure 3.7 and 8.2. Let's call the third side "x".
According to the Triangle Inequality Theorem, we have the following inequality:
3.7 + 8.2 > x
Simplifying the inequality, we get:
11.9 > x
Therefore, a possible measure for the third side "x" is any value that is less than 11.9.
Thus, the possible measure of the third side could be 4.5, 3.5, 4.2, or 5.5.
The correct answer choices are:
4.5
3.5
4.2
5.5