document.write( "Question 920691: The shorter leg of a right triangle is 8 meters. The hypotenuse is 2meters longer than the longer leg. Find the
\n" ); document.write( "length of the longer leg \n" ); document.write( "

Algebra.Com's Answer #558551 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"x\"$ = length of the longer leg, in meters.
\n" ); document.write( " $\"x%2B2\"$ = length of the hypotenuse, in meters.
\n" ); document.write( "The Pythagorean theorem tells us that
\n" ); document.write( " $\"8%5E2%2Bx%5E2=%28x%2B2%29%5E2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"64%2Bx%5E2=x%5E2%2B4x%2B4\"$
\n" ); document.write( " $\"64=4x%2B4\"$
\n" ); document.write( " $\"64-4=4x\"$
\n" ); document.write( " $\"60=4x\"$
\n" ); document.write( " $\"60%2F4=x\"$
\n" ); document.write( " $\"highlight%28x=15%29\"$ \n" ); document.write( "

\n" );