The second side of a triangular deck is 6 feet longer than t

The second side of a triangular deck is 6 feet longer than the shortest side and a third side that is 6 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 56 feet, what are the lengths of the three sides? The shortest side of the deck is feet. (Simplify your answer.) The second side of the deck is feet. (Simplify your answer.) The third side of the deck is feet. (Simplify your answer.)

Solution

Let the shortest side be x feet

Longest side = x+6

Third side = 2x -6

Perimeter = sum of all sides = x+ x+6 +2x -6 = 4x = 56

4x =56

x = 14 feet

shortest side = 14 feet

Longest side = x+6 = 20 feet

Third side = 2*14 -6 = 22 feet