document.write( "Question 251278: A ladder is resting against a wall. The top of the ladder touches the wall at 9 feet high. Find the length of the ladder if the length is three more feet than the distance of the bottom of the ladder from the wall.\r
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document.write( "a) 9 feet b) 12 feet c) 15 feet d) 18 feet e) 21 feet \n" );
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Algebra.Com's Answer #183127 by unlockmath(1688) You can put this solution on YOUR website! Hello, \n" ); document.write( "Since we are dealing with a right triangle we can use the following formula: \n" ); document.write( "a^2 + b^2 = c^2 Let \"a\" be the height of the wall where the latter is touching. \n" ); document.write( "We can represent the length of the latter as b+3, therefore we can plug these into the formula: \n" ); document.write( "9^2 + b^2 = (b+3)^2 rewritten as: \n" ); document.write( "81 + b^2 = b^2 +6b + 9 Subtract b^2 from both sides and subtract 9 from both sides will give us: \n" ); document.write( "72 = 6b Divide 6 into both sides will be: \n" ); document.write( "12=b Now we know the latter is 15 feet long and the base is 12 feet. \n" ); document.write( "RJ \n" ); document.write( "Check out a new math book at www.math-unlock.com \n" ); document.write( " |