document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=728725>Question 728725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the area of an equilateral triangle given side length 24.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #445574 by </B><A HREF=/tutors/aboutme.mpl?userid=ohtheirony><B>ohtheirony(35)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ohtheirony><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=ohtheirony><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=445574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The median and altitude are the same line in an equilateral triangle. The median divides the base into two equal parts, so 12 and 12. You can use the Pythagorean theorem to find the height. We have the hypotenuse (c=24) and the base (a=12). <BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2=a%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"c%5E2=a%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%5E2=12%5E2%2Bb%5E2 ALIGN=MIDDLE  ALT=\"24%5E2=12%5E2%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=576=144%2Bb%5E2 ALIGN=MIDDLE  ALT=\"576=144%2Bb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432=b%5E2 ALIGN=MIDDLE  ALT=\"432=b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "The opposite of squaring is the square root. So , we take the square root of each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28432%29=sqrt%28b%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28432%29=sqrt%28b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b=20.7846096908<BR>\n" );
document.write( "To find the area, multiply 1/2bh, or 1/2 the base times the height.<BR>\n" );
document.write( "1/2(12)(20.7846096908)=124.707658145<BR>\n" );
document.write( "Multiply this answer by two, and you will have the full equilateral triangle.<BR>\n" );
document.write( "124.707658145(2)=249.41531629<BR>\n" );
document.write( "area=~249.415 </SPAN>\n" );
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