The perimeter of a triangle is 117 inches. if one side of the triangle is 11 more than the shorter side, and the longer side is 25 more than the shorter side, find the lengths of the three sides?

Let the shorter side be x.

"one side of the triangle is 11 more than the shorter side" is x + 11

"and the longer side is 25 more than the shorter side" is x + 25

x + x + 11 + x + 25 = 117

3x + 36 = 117

3x = 81

x = 27

x + 11 = 38

x + 25 = 52

The sides have lengths 27 in., 38 in., and 52 in.