document.write( "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. \n" ); document.write( "
Algebra.Com's Answer #690888 by jorel1380(3719)\"\" \"About 
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Let n be the length of the short leg. Then:
\n" ); document.write( "n²+(n+14)²=(2n-14)²
\n" ); document.write( "n²+n²+28n+196=4n²-56n+196
\n" ); document.write( "2n²-84n=0
\n" ); document.write( "2n²=84n
\n" ); document.write( "n²=42n
\n" ); document.write( "n=42
\n" ); document.write( "The short leg is 42 ft, the long leg is 56 ft, and the hypotenuse is 70 ft. ☺☺☺☺
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