Question

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

5.5
5.5

3.5
3.5

4.2
4.2

Answer 1

Use the triangle inequality: if the third side is x, then |8.2 − 3.7| < x < 8.2 + 3.7 → 4.5 < x < 11.9.
Only 5.5 satisfies this, so 5.5 is possible.