Problema Solution

A certain triangle has a perimeter of 3088 mi. The shortest side measures 72mi 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-72' represents the shortest side and 'x+373' represents the longest side.

3088 = x + x-72 + x+373

........
solving for x we have x=929  mi

........
929-72 = 857 mi

929+373 = 1302 mi

The three sides of the triangle are 857 mi, 929 mi, and 1302 mi.