document.write( "Question 998362: In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the hypotenuse is 1 more then the longer leg \n" ); document.write( "
Algebra.Com's Answer #616145 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the hypotenuse is 1 more then the longer leg.
\n" ); document.write( "Find the measures of the legs and the hypotenuse.
\n" ); document.write( "------------------------------------------------------------------------
\n" ); document.write( "
\r\n" );
document.write( "\"%28x%2F3-1%29%5E2\" + \"x%5E2\" = \"%28x%2B1%29%5E2\",  (x is the shorter leg measure)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2%2F9\" - \"%282%2F3%29x\" + \"1\" + \"x%5E2\" = \"x%5E2+%2B+2x+%2B+1\", -----> multiply by 9 both sides ----->\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2+-+2%2A3x+%2B+9\" + \"9x%5E2\" = \"9x%5E2+%2B+18x+%2B+9\", \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"x%5E2+-+24x\" = \"0\",\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x = 24.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check that the solution is correct.\r\n" );
document.write( "

\n" ); document.write( "
\n" ); document.write( "
\n" );