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

Question 190772: 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) (Show Source): You can put this solution on YOUR website!

Let x represent the longest side.

Then

is the shortest side.

And x - 4 is the second longest side.

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

Solve for x to get the measure of the longest side, and the other two follow from the relationships given. Hint: Multiply by 2 first to get rid of that pesky denominator.

And it doesn't matter who's nephew owns the trianglular plot.

John

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