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)![]() ![]() You can put this solution on YOUR website! 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. ☺☺☺☺ \n" ); document.write( " |