document.write( "Question 869547: Pythagorean theorem
\n" ); document.write( "The longer leg of a right triangle is 3m longer than the shorter leg. The hypotenuse is 6m longer than the shorter leg. Find the side lengths of the triangle. \n" ); document.write( "

Algebra.Com's Answer #524281 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"S%5E2%2B%28S-3%29%5E2=%28S%2B6%29%5E2\"$
\n" ); document.write( " $\"S%5E2%2BS%5E2-6S%2B9=S%5E2%2B12S%2B36\"$
\n" ); document.write( " $\"S%5E2-18S-27=0\"$
\n" ); document.write( " $\"%28S%5E2-18S%2B81%29-27=81\"$
\n" ); document.write( " $\"%28S-9%29%5E2=108\"$
\n" ); document.write( " $\"S-9=0+%2B-+sqrt%28108%29\"$
\n" ); document.write( " $\"S=9+%2B-+6sqrt%283%29\"$
\n" ); document.write( "Only the positive result makes sense in this case.
\n" ); document.write( " $\"S=9%2B6sqrt%283%29\"$
\n" ); document.write( " $\"S-3=6%2B6sqrt%283%29\"$
\n" ); document.write( " $\"S%2B6=15%2Bsqrt%283%29\"$ \n" ); document.write( "

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