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.
Let's apply this theorem to the given sides: 3.7 and 8.2.
We have:
3.7 + 8.2 > third side
Adding these two sides, we get:
11.9 > third side
Therefore, a possible measure of the third side can be any value greater than 11.9.
None of the given options (A: 4.5, B: 3.5, C: 4.2, D: 5.5) are greater than 11.9.
Thus, the statement "Apply the Triangle Inequality Theorem to find a possible measure of the third side" is incorrect because a possible measure of the third side cannot be determined from the given information.