Problema Solution

A certain triangle has a perimeter of 3063 mi. The shortest side measures 79 mi less than the middle side, and the longest side measures 373 mi more than the middle side. Find the lengths of the three sides.

Answer provided by our tutors

let 'm' represent the middle side, then the other sides are 'm-79' and 'm+373', giving this equation:


solve for the middle side:

m + m-79 + m+373 = 3063

m = 923


shortest side:

923-79 = 844

longest side:

923+373 = 1296