document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429889>Question 429889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the side length of a equilateral triangle with an area of 12 radical 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298599 by </B><A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><B>poliphob3.14(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=poliphob3.14><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=298599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution:Apply Heron's Formula for equilateral triangle with side x xm have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=sqrt%28%283x%2F2%29%2A%283x%2F2-x%29%5E3%29 ALIGN=MIDDLE  ALT=\"A=sqrt%28%283x%2F2%29%2A%283x%2F2-x%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, substituting our data we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2Asqrt%283%29=sqrt%28%283x%2F2%29%2A%28x%5E3%2F8%29%29 ALIGN=MIDDLE  ALT=\"12%2Asqrt%283%29=sqrt%28%283x%2F2%29%2A%28x%5E3%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, squaring both sides we have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=432=3x%5E4%2F16 ALIGN=MIDDLE  ALT=\"432=3x%5E4%2F16\"   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=6912=3x%5E4 ALIGN=MIDDLE  ALT=\"6912=3x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, divide by 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2304=x%5E4 ALIGN=MIDDLE  ALT=\"2304=x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, => x=fourth root of 2304 =>. Approximately x=7 cm.\r<BR>\n" );
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document.write( "Answer: The side of equilateral triangle with area 20.78 cm^2 is 6.93 cm.\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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