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
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 third side of the triangle "x".
According to the Triangle Inequality Theorem, we have two inequalities:
1. 3.7 + 8.2 > x
2. 3.7 + x > 8.2
Simplifying the first inequality, we get:
12.9 > x
Simplifying the second inequality, we get:
x > 4.5
Therefore, the possible measure of the third side, x, falls between 4.5 and 12.9.
None of the given answer options falls within this range, so none of the answer options are correct.