document.write( "Question 56314: I am suppose to solve the followin:\r
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document.write( "In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse.\r
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document.write( "I am confused, please help!\r
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document.write( "Lackinmath \n" );
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Algebra.Com's Answer #38193 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! I am suppose to solve the followin: \n" ); document.write( "In a right triangle one side is one unit longer than the other side and the perimeter is 12 feet. Find the length of the hypotenuse. \r \n" ); document.write( "\n" ); document.write( "I am confused, please help! \n" ); document.write( "Lackinmath \n" ); document.write( "LET SMALLER SIDE =X \n" ); document.write( "OTHER SIDE =X+1 \n" ); document.write( "PERIMETER = 12 \n" ); document.write( "HENCE THIRD SIDE=HYPOTENUSE = 12-X-X-1=11-2X \n" ); document.write( "SO \n" ); document.write( "(11-2X)^2 = X^2+(X+1)^2=X^2+X^2+2X+1 \n" ); document.write( "121+4X^2-44X=2X^2+2X+1 \n" ); document.write( "2X^2-46X+120=0 \n" ); document.write( "X^2-23X+60=0 \n" ); document.write( "X^2-20X-3X+60=0 \n" ); document.write( "X(X-20)-3(X-20)=0 \n" ); document.write( "(X-3)(X-20)=0 \n" ); document.write( "X=3 SINCE 20 IS IMPOSSIBLE \n" ); document.write( "HENCE THE SIDES ARE 3,3+1=4 AND 12-3-4=5 \n" ); document.write( " |