SOLUTION: The second side of a triangular deck is 3 feet longer than the shortest​ side, and the third side is 3 feet shorter than twice the length of the shortest side. If the perimet

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Question 1150901: The second side of a triangular deck is
3 feet longer than the shortest​ side, and the third side is
3 feet shorter than twice the length of the shortest side. If the perimeter of the deck is 48 ​feet, what are the lengths of the three​ sides?
Answer by ikleyn(52855)   (Show Source): You can put this solution on YOUR website!
.

If L is the length of the shortest side, then the two other sides are (L+3) and (2L-3) feet long.


The perimeter equation is


    L + (L+3) + (2L-3) = 48.


Solve it and find L.  Then compute the lengths of the two other side.


At the end, check that the triangle inequalities are satisfied, to make sure that the triangle with the found side lengths does really exist.


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