document.write( "Question 464044: A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch? \n" ); document.write( "
Algebra.Com's Answer #317854 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"A 12 foot ladder is six feet from a wall. How high on the wall does the ladder touch?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A right triangle is formed, which you can use the Pythagorean Theorem on.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Pythagorean Theorem is a² + b² = c² \n" ); document.write( "a and b are the legs and c is the hypotenuse {side across from right angle}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a² + b² = c² {Pythagorean Theorem} \n" ); document.write( "a² + 6² = 12² {substituted into the Pythagorean Theorem} \n" ); document.write( "a² + 36 = 144 {squared the 6 and 12} \n" ); document.write( "a² = 108 {subtracted 36 from both sides} \n" ); document.write( "a = √108 {took square root of both sides} \n" ); document.write( "a ≈ 10.39 ft \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |