Problema Solution

A certain triangle has a perimeter of 3078 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 'x' represent the middle side, then 'x-79' represents the shortest side and 'x+373' represents the longest side


3078 = x + x-79 + x+373

solving for 'x' we have x=928


928-79 = 849

928+373 = 1301


the three sides are 849 mi, 928 mi, and 1301 mi