SOLUTION: The hypotenuse of a right triangle is 37 feet long.the measure of one leg is one foot less than three times the length of the other leg. Find the length of each leg.

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Question 1009902: The hypotenuse of a right triangle is 37 feet long.the measure of one leg is one foot less than three times the length of the other leg. Find the length of each leg.
Answer by ikleyn(52848) About Me  (Show Source):
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The hypotenuse of a right triangle is 37 feet long. The measure of one leg is one foot less than three times
the length of the other leg. Find the length of each leg.
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The legs are x and 3x-1 feet long.

An equation is 

x%5E2 + %283x-1%29%5E2 = 37%5E2.


Simplify and solve.