document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=710796>Question 710796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sir/Madam, please help me with this distance related question:<BR>\n" );
document.write( "A rectangle with vertices A (-2,-6) B(4,-3) C(3,-1) and D (-3,-4) is inscribed in a circle.  Find the lengths of the diameter of the circle.\r<BR>\n" );
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document.write( "Thank you very much!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #437255 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=437255\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All the angles of a rectangle are right angles.<BR>\n" );
document.write( "A right angle inscribed in a circle intersects the circle at the ends of a diameter.<BR>\n" );
document.write( "As a consequence, the diagonals of the rectangle are diameters of the circle it is inscribed in.<BR>\n" );
document.write( "AC and BD are those diagonals/diameters.<BR>\n" );
document.write( "Their lengths are<BR>\n" );
document.write( "AC=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28-2-3%29%5E2%2B%28-6-%28-1%29%29%5E2%29=sqrt%285%5E2%2B%28-6%2B1%29%5E2%29=sqrt%285%5E2%2B5%5E2%29=sqrt%282%2A5%5E2%29=highlight%285sqrt%282%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-5%2C5%2C-8%2C2%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28line%28-2%2C-6%2C4%2C-3%29%29%2Cblue%28line%284%2C-3%2C3%2C-1%29%29%2C%0D%0Ablue%28line%283%2C-1%2C-3%2C-4%29%29%2Cblue%28line%28-3%2C-4%2C-2%2C-6%29%29%2C%0D%0Ablue%28circle%280.5%2C-3.5%2C5%2Asqrt%282%29%2F2%29%29%2C%0D%0Alocate%28-2.5%2C-6%2CA%28-2%2C-6%29%29%2Clocate%283.1%2C-0.5%2CC%283%2C-1%29%29%2C%0D%0Ared%28triangle%28-2%2C-6%2C3%2C-1%2C3%2C-6%29%29%2Cred%28rectangle%283%2C-6%2C2.8%2C-5.8%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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