Problema Solution

A triangle has a perimeter of 53 in. The shortest side of the triangle is two more than one-third of the longest side. The other side is five less than the longest side. Find the dimensions.

Answer provided by our tutors

perimeter = 53

longest side: x

shortest side: x/3 + 2

middle side: x - 5

x + x - 5 + x/3 + 2 = 53

7x/3 = 56

x = 24.

So, the sides are: 24, 19 and 10.