The second side of a triangular deck is 5 feet longer than the shortest side and a third side that is 5 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?

Lengths of three sides are: 13ft, 18ft and 21ft.

Explanation:

Let shorted side = y

so,

second side = y + 5

Third side = 2 (y) - 5

Parameter of triangle = 1st side length + 2nd side length + 3rd side length

52 = y + y+5 + 2y-5

52 = 4y

y = 52/4 = 13 ft

So putting y in all three lengths we will get,

shortest side = 13 ft.

second side = 18 ft

Third side = 21 ft.