Question

The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 80 feet, what are the lengths of the three sides?

Answer 1

Shortest Side = 20 feet

Second Side = 23 feets

Third Side = 37 feets

Explanation:

Let the shortest side of the desk be x. Hence,

Second side = (x + 3) feets

Third side = (2x - 3) feets

Perimeter = 80ft

x + (x + 3) + (2x - 3) = 80

4x = 80

x = 20

Hence, Second side = (20 + 3) feets

= 23 feets

Third side = (40 - 3) feets

= 37 feets

Hence, shortest side is 20 feets, Second side is 23 feets, Third side is 37 feets.