SOLUTION: Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. T

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Question 197027: Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side?

Answer by solver91311(24713) About Me  (Show Source):
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Let x represent the length of the longest side, then

The shortest side must be:

and the third side must be:

The perimeter is the sum of the lengths of the sides, so:



Solve for x to get the longest side, then the other two sides are simple calculations from the given relationships.

John