The perimeter of a triangle is 73 cm. the longest side is 5 cm less than the sum of the other two sides. twice the shortest side is 8 cm less than the longest side. find the length of each side of the triangle.

a+b+c = 73 (a is shortest side, b is second shortest side, c is longest side)

c = a+b-5

c = 2a+8

b = a+13

2a+8+a+13+a = 73

4a+21=73

4a = 52

a = 13

b = 26

c = 34

However when you plug that back in, you don't get a triangle, so I think you are missing something