document.write( "Question 955844: A ladder of length 2x+1feet is positioned against a wall such that the bottom is x−1feet away from a wall. The distance between the floor and the top of the ladder is 2xfeet.
\n" ); document.write( "Find the length, in feet, of the ladder.
\n" ); document.write( " Assume that a right angle is formed by the wall and the floor. \n" ); document.write( "

Algebra.Com's Answer #583939 by macston(5194) $\"\"$ $\"About$

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$\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"%28x-1%29%5E2%2B%282x%29%5E2=%282x%2B1%29%5E2\"$
\n" ); document.write( " $\"x%5E2-2x%2B1%2B4x%5E2=4x%5E2%2B4x%2B1\"$ Subtract $\"4x%5E2%2B1\"$ from each side.
\n" ); document.write( " $\"x%5E2-2x=4x\"$ Subtract 4x from each side.
\n" ); document.write( " $\"x%5E2-6x=0\"$
\n" ); document.write( "x(x-6)=0
\n" ); document.write( "x=6ft
\n" ); document.write( "2x+1=2(6ft)+1=13 feet ANSWER: The ladder is 13 feet long.
\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%28x-1%29%5E2%2B%282x%29%5E2=%282x%2B1%29%5E2\"$
\n" ); document.write( " $\"%286-1%29%5E2%2B%282%286%29%29%5E2=%282%286%29%2B1%29%5E2\"$
\n" ); document.write( " $\"5%5E2%2B12%5E2=13%5E2\"$
\n" ); document.write( " $\"25%2B144=169\"$
\n" ); document.write( " $\"169=169\"$ \n" ); document.write( "

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