document.write( "Question 829545: Hello I have a word problem on the Pythagorean theorem. It says.... the bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall? I also need help like lets say a lawn is 4 meters by 5 meters... how much is it if you cross diagonally across I dont know how to solve both of these problems.. thanxs \n" ); document.write( "
Algebra.Com's Answer #499963 by LinnW(1048)![]() ![]() You can put this solution on YOUR website! For the ladder problem, the ladder is the hypotenuse. \n" ); document.write( "Let h = height to the top of the ladder. \n" ); document.write( "So h^2 + 3^2 = 12^2 , based on \n" ); document.write( "h^2 + 9 = 144 \n" ); document.write( "add -9 to each side. \n" ); document.write( "h^2 = 135 \n" ); document.write( "take the square root of each side. \n" ); document.write( " \n" ); document.write( "h = 11.62 \n" ); document.write( "___ \n" ); document.write( "For the lawn that is 4 by 5, the diagonal is the hypotenuse. \n" ); document.write( "(c=length of diagonal)^2 = 4^2 + 5^2 \n" ); document.write( "c^2 = 16 + 25 \n" ); document.write( "c^2 = 41 \n" ); document.write( "c = \n" ); document.write( "c = 6.403 \n" ); document.write( "Check tutorLinnWilson.jimdo.com if you need help. \n" ); document.write( " |