Question

Given the angle measures of ΔABC, order the sides from greatest to least. Place your answer in your response IN ORDER.

The angles are: A: 60 degrees, B: 62 degrees, C: 58 degrees
Explain how you know your order is the correct order.

Answer 1

Answer: AC, BC, AB

Reason

The largest angle is B = 62. The longest side is opposite the largest angle. This is always true of any triangle. Therefore, the longest side is AC.

On the opposite side of the spectrum, the smallest angle is C = 58, so the shortest side is AB.

Side BC is somewhere in the middle of AC and AB.

We unfortunately do not have enough information to find the numeric values for each side length. It turns out there are infinitely many triangles possible. But we can say for certain what side is the longest vs what is the shortest.