document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=310928>Question 310928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the altitude of an equilateral triangle if one of its sides measures 12 cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #222384 by </B><A HREF=/tutors/aboutme.mpl?userid=mollukutti><B>mollukutti(30)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mollukutti><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=mollukutti><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=222384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Basic fact:\r<BR>\n" );
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document.write( "The altitude of an equilateral triangle bisects the side on which it stands and forms right angled triangles with the remaining sides.\r<BR>\n" );
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document.write( "It would have been better if I could have drawn this here but as I cant I will try to explain it in words.\r<BR>\n" );
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document.write( "We have the length of each side = 12cm<BR>\n" );
document.write( "Therefore the altitude bisects the side on which it stands into 2 equals each measuring 6cm<BR>\n" );
document.write( "Hence one half of the triangle being a right angled triangle will have the following measurements\r<BR>\n" );
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document.write( "Hypotenus = side of the triangle = 12cm<BR>\n" );
document.write( "Base= half of the side on which the altitude stands = 6 cm\r<BR>\n" );
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document.write( "Therefore as per the Pythagoras theorem\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Altitude+%5E2+=+Hypotenuse%5E2+-+Base%5E2 ALIGN=MIDDLE  ALT=\"Altitude+%5E2+=+Hypotenuse%5E2+-+Base%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%5E2+-+6%5E2 ALIGN=MIDDLE  ALT=\"12%5E2+-+6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144+-+36 ALIGN=MIDDLE  ALT=\"144+-+36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108 ALIGN=MIDDLE  ALT=\"108\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefor the Altitude = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28108%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28108%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"6%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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