document.write( "Question 316427: Consider a right triangle. The length of the long side is 23 longer than the short side. The length of the hypotenuse is 2 longer than the long side. What is the length of the long side?
\n" ); document.write( "b = \n" ); document.write( "

Algebra.Com's Answer #226354 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the Pythagorean theorem,
\n" ); document.write( " $\"A%5E2%2BB%5E2=H%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%28S%2B23%29%5E2=%28S%2B23%2B2%29%5E2\"$
\n" ); document.write( " $\"S%5E2%2B%28S%5E2%2B46S%2B529%29=%28S%5E2%2B50S%2B625%29\"$
\n" ); document.write( " $\"2S%5E2%2B46S%2B529=S%5E2%2B50S%2B625\"$
\n" ); document.write( " $\"S%5E2-4S-96=0\"$
\n" ); document.write( " $\"%28S-12%29%28S%2B8%29=0\"$
\n" ); document.write( "Only the positive solution makes sense in this case,
\n" ); document.write( " $\"S-12=0\"$
\n" ); document.write( "Short: $\"S=12\"$
\n" ); document.write( "Long: $\"L=S%2B23=35\"$
\n" ); document.write( "Hypotenuse: $\"H=L%2B2=37\"$ \n" ); document.write( "

\n" );