2 sides of a triangle measure 3.7 and 8.2. Apply the triangle equality theorem to find the possible measure of the third side

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 denote the third side as x.

According to the Triangle Inequality Theorem, we have the following inequalities:

3.7 + 8.2 > x

And

x + 3.7 > 8.2

These inequalities can be simplified to:

12.9 > x

And

x > 4.5

Therefore, the possible measure of the third side, x, must be greater than 4.5 and less than 12.9.