document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044204>Question 1044204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points A, B and C are collinear. Point B is the midpoint of the line segment AC. Point D is a point not collinear with the other points for which DA=DB and DB=BC=10. Then DC is:<BR>\n" );
document.write( "A) 20/&#10004;&#65039;3<BR>\n" );
document.write( "B) 10&#10004;&#65039;2<BR>\n" );
document.write( "C) 10&#10004;&#65039;3<BR>\n" );
document.write( "D) 20<BR>\n" );
document.write( "E) 40/&#10004;&#65039;3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #659480 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=659480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let y = distance of point D from segment AB.\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2%2B+y%5E2+=+10%5E2 ALIGN=MIDDLE  ALT=\"5%5E2%2B+y%5E2+=+10%5E2\"   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=y%5E2+=+10%5E2+-+5%5E2 ALIGN=MIDDLE  ALT=\"y%5E2+=+10%5E2+-+5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But also the distance of the foot of the perpendicular bisector of AB from point C is 5+10 = 15 units.  Hence,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%5E2+%2B+y%5E2+=+%28DC%29%5E2 ALIGN=MIDDLE  ALT=\"15%5E2+%2B+y%5E2+=+%28DC%29%5E2\"   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=15%5E2+%2B+10%5E2+-+5%5E2+=+%28DC%29%5E2 ALIGN=MIDDLE  ALT=\"15%5E2+%2B+10%5E2+-+5%5E2+=+%28DC%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28DC%29%5E2+=+300 ALIGN=MIDDLE  ALT=\"%28DC%29%5E2+=+300\"   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=DC+=+10sqrt%283%29 ALIGN=MIDDLE  ALT=\"DC+=+10sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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