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.

Question

A. 4.5

B. 3.5

C. 4.2

D. 5.5

Answer 1

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.