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