Solve - the second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 52 feet, what are the lengths of the three sides?

Let the length of the shortest side be x, then the length of the second side is x + 4 and the length of the third side is 2x - 4.

Then, x + x + 4 + 2x - 4 = 52

4x = 52

x = 52/4 = 13

Therefore, the lengths of the sides of the triangle are: x = 13, x + 4 = 13 + 4 = 17 and 2x - 4 = 2 (13) - 4 = 26 - 4 = 22.

i. e. 13, 17, 22