Question 415824
(1) S+M+L=27, where S=shortest side, M=middle side, L=longest side
(2) M=L-5
We are told that one of the sides is 8 feet.  We know this cannot be the longest side, since the middle side would be 5 less than this, or 3 feet.  This combination would give a perimeter < 27 feet.  It also cannot be the shortest side, since the middle side would have to be at least 9 and the longest side is 5 more than that, or 14.  This perimeter is > 27 feet.  Therefore the length of the middle side is 8 feet.
From (2), L=M+5 -> L = 13 feet.
Using (1), S=27-13-8 = 6 feet.
Answer: S=6,M=8,L=13