document.write( "Question 1005336: the hypotenuse of a right triangle is 2 ft. longer than one leg and 4 ft. longer than the other leg. what are the dimensions of this triangle? \n" ); document.write( "

Algebra.Com's Answer #621708 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x = the length of the hypotenuse, in feet.\r\n" );
document.write( "\r\n" );
document.write( "Then the legs are (x-2) ft and (x-4) ft,\r\n" );
document.write( "\r\n" );
document.write( "and you have a quadratic equation\r\n" );
document.write( "\r\n" );
document.write( " +  = .\r\n" );
document.write( "\r\n" );
document.write( "Simplify, and you will get\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "There are two roots, 10 and 2.\r\n" );
document.write( "\r\n" );
document.write( "The smaller doesn't fit. The greater does work.\r\n" );
document.write( "\r\n" );
document.write( "Answer. 10 ft.\r\n" );
document.write( "

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

\n" );