document.write( "Question 1008952: The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter leg. Find the length of the shorter leg \n" ); document.write( "
Algebra.Com's Answer #624498 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A=shorter leg; B=longer leg=A+3; C=hypotenuse=A+6
\n" ); document.write( ".
\n" ); document.write( "\"A%5E2%2BB%5E2=C%5E2\"
\n" ); document.write( "\"A%5E2%2B%28A%2B3%29%5E2=%28A%2B6%29%5E2\"
\n" ); document.write( "\"A%5E2%2B%28A%5E2%2B6A%2B9%29=A%5E2%2B12A%2B36\"
\n" ); document.write( "\"A%5E2-6A-27=0\"
\n" ); document.write( "\"%28A%2B3%29%28A-9%29=0\"
\n" ); document.write( "\"A%2B3=0\" \"OR\" \"A-9=0\"
\n" ); document.write( "\"A=-3\" \"OR\" \"A=9\"
\n" ); document.write( "ANSWER: The length of the shorter leg is 9.
\n" ); document.write( ".
\n" ); document.write( "CHECK:
\n" ); document.write( "A=9; B=A+3=9+3=12; C=A+6=9+6=15
\n" ); document.write( ".
\n" ); document.write( "\"A%5E2%2BB%5E2=C%5E2\"
\n" ); document.write( "\"9%5E2%2B12%5E2=15%5E2\"
\n" ); document.write( "\"81%2B144=225\"
\n" ); document.write( "\"225=225\"
\n" ); document.write( "
\n" ); document.write( "
\n" );