One side of a triangle is one-fourth the longest side. The third side is 7 feet less than the longest side. The perimeter is 128 . Find all three sides.

Question

One side of a triangle is one-fourth the longest side. The third side is  feet less than the longest side. The perimeter is . Find all three sides.

Answer 1

x/4 + x-7 + x = 128

9x/4 = 128 +7 = 135

x =(4/9)135 = 540/9 = 60 feet for largest side

x-7 = 53 feet = the middle sized side

x/4 = 60/4 = 15 feet for smallest side