document.write( "Question 885580: A ladder of length 2x+1 feet is positioned against a wall such that the bottom is x−1 feet away from a wall. The distance between the floor and the top of the ladder is 2x feet.\r
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document.write( "Find the length, in feet, of the ladder.\r
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document.write( "The length of the ladder is ____________feet.\r
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document.write( "Assume that a right angle is formed by the wall and the floor.
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Algebra.Com's Answer #535296 by mananth(16946)![]() ![]() You can put this solution on YOUR website! By Pythagoras theorem\r \n" ); document.write( "\n" ); document.write( "(x-1)^2+(2x)^2=(2x+1)^2\r \n" ); document.write( "\n" ); document.write( "x^2-2x+1 +4x^2=4x^2+4x+1\r \n" ); document.write( "\n" ); document.write( "x^2-6x=0\r \n" ); document.write( "\n" ); document.write( "x(x-6)=0\r \n" ); document.write( "\n" ); document.write( "x=0 OR 6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length of ladder = 6*2 = 12 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |