SOLUTION: One side of triangle is one-fourth the longest side. The third side is 10 feet less than the longest side. The perimeter is 116 . Find all three sides.

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Question 622798: One side of triangle is one-fourth the longest side. The third side is 10 feet less than the longest side. The perimeter is 116 . Find all three sides.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

One side of triangle is one-fourth the longest sidehighlight%28x%29. 

The third side is 10  feet less than the longest sidehighlight%28x%29. 

The perimeter is 116 . Find all three sides.

  x + x/4 + (x-10) = 116

       (9/4)x = 126

            x = 126(4/9)

            x = 56

 Three sides are 56', 14' and 46' 

And... 

CHECKING our Answer***

  56' + 14' + 46' = 116