document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151273>Question 1151273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Equilateral triangle △ABC has side length 2, M is the midpoint of<BR>\n" );
document.write( "segment AC, and C is the midpoint of BD. What is the area of<BR>\n" );
document.write( "△CDM?<BR>\n" );
document.write( "(please check the link below as it contains the image for the question)<BR>\n" );
document.write( "https://i.imgur.com/g3InsY0.png </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772975 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772975\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let's explore hint #2 that the tutor @ikleyn has provided.\r<BR>\n" );
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document.write( "Triangle ABC has base of BC = 2<BR>\n" );
document.write( "Let h be the height of triangle ABC. It does not matter what h is for this thought experiment.<BR>\n" );
document.write( "The area of triangle ABC is therefore, A = (1/2)*base*height = (1/2)*2*h = h.<BR>\n" );
document.write( "Area of triangle ABC = h.\r<BR>\n" );
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document.write( "The base of triangle CDM is also 2, because C is the midpoint of BD, so BC = CD = 2.<BR>\n" );
document.write( "The height of point M is half that of point A's height. Imagine that point A is (0, h). Through use of the midpoint formula, you'll find that the y coordinate of point M will be y = h/2.<BR>\n" );
document.write( "So the height of triangle CDM is h/2.\r<BR>\n" );
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document.write( "area of triangle CDM = (1/2)*base*height<BR>\n" );
document.write( "area of triangle CDM = (1/2)*2*(h/2)<BR>\n" );
document.write( "area of triangle CDM = h/2<BR>\n" );
document.write( "area of triangle CDM = (area of triangle ABC)/2<BR>\n" );
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