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.

4.5

3.5

4.2

5.5

1 answer

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side.

So, in this case, the possible measure of the third side must be less than the sum of the two given sides, which are 3.7 and 8.2.

3.7 + 8.2 = 11.9

Therefore, a possible measure of the third side could be less than 11.9.

Out of the given options, the only possible measure of the third side that is less than 11.9 is 4.2.

Therefore, the correct answer is 4.2.