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)\"\" \"About 
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 \"a%5E2+%2B+b%5E2+=+c%5E2\"
\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( "\"h+=+sqrt%28135%29\"
\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 = \"sqrt%2841%29\"
\n" ); document.write( "c = 6.403
\n" ); document.write( "Check tutorLinnWilson.jimdo.com if you need help.
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