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.

Question

(1 point)

Answer 1

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore, for a triangle with sides measuring 3.7 and 8.2, the possible range of the third side can be calculated as follows:

3.7 + 8.2 > third side
12.9 > third side

So, the third side must be less than 12.9 units in length.