document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39430>Question 39430</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In rectangle ABCD, diagonal line BD is one more than twice lined BC. Line CD is 7 more than line BC. find line AB. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24946 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In rectangle ABCD, diagonal line BD=D SAY is one more than twice lined BC=W SAY. Line CD=L SAY is 7 more than line BC. find line AB.<BR>\n" );
document.write( "LET AB=CD=L<BR>\n" );
document.write( "BC=DA=W<BR>\n" );
document.write( "HENCE BD^2=D^2=L^2+W^2<BR>\n" );
document.write( "WE ARE GIVEN THAT D=2W+1 AND L=W+7...SO<BR>\n" );
document.write( "(2W+1)^2=(W+7)^2+W^2<BR>\n" );
document.write( "4W^2+1+4W=W^2+49+14W+W^2=2W^2+14W+49<BR>\n" );
document.write( "2W^2-10W-48=0<BR>\n" );
document.write( "W^2-5W-24=0<BR>\n" );
document.write( "W^2-8W+3W-24=0<BR>\n" );
document.write( "W(W-8)+3(W-8)=0<BR>\n" );
document.write( "(W-8)(W+3)=0<BR>\n" );
document.write( "W=8=BC<BR>\n" );
document.write( "AB=L=W+7=15 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );