document.write( "Question 573473: a ladder is resting against a wall. the top of the ladder touches the wall at height of 9 feet. find the length of the ladder if the length is 3 feet more than its distance from the wall \n" ); document.write( "
Algebra.Com's Answer #368774 by mananth(16946)\"\" \"About 
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distance from wall = x
\n" ); document.write( "length of ladder = x+3 feet
\n" ); document.write( "height where it touches the wall = 9
\n" ); document.write( "The ladder,the floor & the wall form a right triangle.
\n" ); document.write( "The base is one leg
\n" ); document.write( "The height is the other leg
\n" ); document.write( "The ladder acts as the hypotenuse \r
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\n" ); document.write( "\n" ); document.write( "Pythagoras theorem
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\n" ); document.write( "(Hyp)^2= (leg1)^2+ Leg2^2 \r
\n" ); document.write( "\n" ); document.write( "(x+3)^2=x^2+9^2\r
\n" ); document.write( "\n" ); document.write( "x^2+6x+9 = x^2+81
\n" ); document.write( "6x+9=81
\n" ); document.write( "6x=72
\n" ); document.write( "/6
\n" ); document.write( "x=12 \r
\n" ); document.write( "\n" ); document.write( "Length of ladder = 12+3 = 15 feet\r
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