document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78023>Question 78023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.  Find the length of a chorter leg of a right triangle if the longer leg is 10 miles more than the shorter leg and the hypotemuse is 10 miles less than twice the shorter leg.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.  The sum of two numbers is twenty-five and the sum of their square is three hundred and five.  Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55987 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley75><B>checkley75(3666)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley75><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55987\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X=SHORTER LEG<BR>\n" );
document.write( "X+10=LONGER LEG<BR>\n" );
document.write( "2X-10=HYPOTENUSE<BR>\n" );
document.write( "X^2+(X+10)^2=(2X-10)^2<BR>\n" );
document.write( "X^2+X^2+20X+100=4X^2-40X+100<BR>\n" );
document.write( "2X^2-4X^2+60X=0<BR>\n" );
document.write( "-2X^2+60X=0<BR>\n" );
document.write( "2X^2-60x=0<BR>\n" );
document.write( "x(2x-60)=0<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "2x-60=0<BR>\n" );
document.write( "2x=60 <BR>\n" );
document.write( "x=60/2<BR>\n" );
document.write( "x=30 answer.<BR>\n" );
document.write( "proof<BR>\n" );
document.write( "30^2+(30+10)^2=(2*30-10)^2<BR>\n" );
document.write( "900+1600=(50)^2<BR>\n" );
document.write( "2500=2500\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );