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.
This is not a multiple choice question.
A. 4.5
B. 3.5
C. 4.2
D. 5.5
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.
Given that the lengths of two sides are 3.7 and 8.2, we can apply the theorem by setting up the following inequality:
3.7 + 8.2 > x, where x represents the length of the third side.
Simplifying the inequality, we have:
11.9 > x
Therefore, a possible measure of the third side (x) would be any value that is less than 11.9.
Out of the options provided, a possible measure of the third side would be:
C. 4.2