One side of a triangle is half the longest side. The third side is 7 feet less than the longest side. The perimeter is 38 . Find all three sides.

Question

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

Answer 1

Let x = the longest side, the the other sides are x/2 and x-7

So,

x + x/2 + x -7 = 38 Solving for x, we have 5x/2 = 45 or x = 18