Question

The second side of a triangular deck is 5 feet longer than the shortest side, and the third side is 5 feet shorter than twice the lenght of the shortest side. If the perimeter of the deck is 56 feet, what are the lengths of the three sides?

Answer 1

Answer: 14 feet, 19 feet, 23 feet

Explanation:

Let the length of the shortest side in feet be
`s`. Then, the second side has length
`s+5` and the third side has length
`2s-5`. The perimeter is 56, so:

`s+s+5+2s-5=56\\\\4s=56\\\\s=14`

So, the lengths of the three sides are 14 feet, 19 feet, and 23 feet.