SOLUTION: One side of triangle is one-fourth the longest side. The third side is 9 feet less than the longest side. The perimeter is 117 . Find all three sides.

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Question 781725: One side of triangle is one-fourth the longest side. The third side is 9 feet less than the longest side. The perimeter is 117 . Find all three sides.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If y is the longest side, then the expressions for the other sides are:
y%2F4, and y-9.
This perimeter problem basically becomes a simple algebra problem.
y%2By%2F4%2By-9=117
y%281-1%2F4%2B1%29=117%2B9
y%281%263%2F4%29=126
y%287%2F4%29=126
y=126%284%2F7%29
y=4%2A18=72 from which you can find the other side lengths.