Problema Solution

A triangle has a perimeter of 25 inches. The medium side is 4 more than the short side, and the longest side is 5 times the length of the shortest side. Find the shortest side.

Answer provided by our tutors

let


x = the shortest side, x>=0


medium side is 4 more than the short side:


x + 4 = the medium side


the longest side is 5 times the length of the shortest side:


5x = the longest side


the perimeter is 25 in means:


x + (x + 4) + 5x = 25


by solving we find:


x = 3 in


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the shortest side is 3 inches in length.