document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134488>Question 134488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one leg of a right riangle is 1/3m shorter than the other leg. if the hypotenuse of the triangle is 5/3m, find the lengths of both legs. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98430 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley71><B>checkley71(8403)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley71><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=98430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+(x-1/3)^2=5/3^2<BR>\n" );
document.write( "x^2+x^2-2/3x+1/9=25/9<BR>\n" );
document.write( "2x^2-2/3x+1/9-25/9=0<BR>\n" );
document.write( "2x^2-2/3x-24/9=0<BR>\n" );
document.write( "(2x+2)(x-4/3)=0<BR>\n" );
document.write( "x-4/3=0<BR>\n" );
document.write( "x=4/3 answer for one of the equal legs.<BR>\n" );
document.write( "proof:<BR>\n" );
document.write( "4/3^2+(4/3-1/3)^2=5/3^2<BR>\n" );
document.write( "16/9+1^2=25/9<BR>\n" );
document.write( "16/9+9/9=25/9<BR>\n" );
document.write( "25/9=25/9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );