document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021728>Question 1021728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> points M and N are the mid-points of AC and BC, respectively. Show that d(MN) = 1/2[d(AB)] <BR>\n" );
document.write( "C(b,c) A(0,0) B(a,0)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637468 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=637468\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If M is the midpoint of AC then it would have coordinates (b/2, c/2) by a direct application of the midpoint formula of analytic geometry.  In the same way, if N is the midpoint of BC then it would have the coordinates (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Bb%29%2F2 ALIGN=MIDDLE  ALT=\"%28a%2Bb%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, c/2).\r<BR>\n" );
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document.write( "==> d(MN) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28+%28a%2Bb%29%2F2+-+b%2F2%29%5E2%2B%28c%2F2-c%2F2%29%5E2%29+=+sqrt%28a%5E2%2F4%2B0%29+=+abs%28a%29%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, <BR>\n" );
document.write( "d(AB) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28+%28a-0%29%5E2%2B+%280-0%29%5E2%29+=+abs%28a%29 ALIGN=MIDDLE  ALT=\"sqrt%28+%28a-0%29%5E2%2B+%280-0%29%5E2%29+=+abs%28a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28MN%29+=+d%28AB%29%2F2 ALIGN=MIDDLE  ALT=\"d%28MN%29+=+d%28AB%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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