document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102503>Question 1102503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABC is an equilateral triangle with circumcentre O. What is the ratio AO+BO+CO to the perimeter of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #717218 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=717218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "AO, BO, and CO divide the equilateral triangle into three isosceles triangles, each with an angle measuring 120 degrees.  Each of those triangles can be divided into two 30-60-90 right triangles.<br><BR>\n" );
document.write( "The geometry of 30-60-90 right triangles tells us that the ratio of AO to the side of the triangle is 1:sqrt(3).<br><BR>\n" );
document.write( "Therefore the ratio of AO+BO+CO to the perimeter of the equilateral triangle is 1:sqrt(3). </SPAN>\n" );
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