SOLUTION: Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg.
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-> SOLUTION: Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg.
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Question 1076231: Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more than the shorter leg and the hypotenuse is 14 feet less than twice the shorter leg. Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! Let n be the length of the short leg. Then:
n²+(n+14)²=(2n-14)²
n²+n²+28n+196=4n²-56n+196
2n²-84n=0
2n²=84n
n²=42n
n=42
The short leg is 42 ft, the long leg is 56 ft, and the hypotenuse is 70 ft. ☺☺☺☺
