document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104761>Question 1104761</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have an equilateral triangle with 4(pi) as each of its sides. Using the formula for finding the area of equilateral triangles {[(b^2)(sqrt3)]/4} I got (sqrt3)(pi^2) However, working through the entire problem manually, I got 2(sqrt2)(pi^2). Is one of those solutions right? If not, can you help me find the correct process to get the correct solution? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719447 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=719447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make an altitude from a vertex to middle of opposite side.  Now the equilateral triangle is two congruent right triangles of the 30-60-90 type.  Hypotenuse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi ALIGN=MIDDLE  ALT=\"4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the short leg is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi ALIGN=MIDDLE  ALT=\"2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Find the size of the altitude.  Call this y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2B%282pi%29%5E2=%284pi%29%5E2 ALIGN=MIDDLE  ALT=\"y%5E2%2B%282pi%29%5E2=%284pi%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=16pi%5E2-4pi%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=16pi%5E2-4pi%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=12pi%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=12pi%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%2812pi%5E2%29 ALIGN=MIDDLE  ALT=\"y=sqrt%2812pi%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2pi%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"y=2pi%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or you could say, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%283%29%2A2pi ALIGN=MIDDLE  ALT=\"y=sqrt%283%29%2A2pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283%29pi=y ALIGN=MIDDLE  ALT=\"2%2Asqrt%283%29pi=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "AREA OF THE EQUILATERAL TRIANGLE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Abase%2Aaltitude ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Abase%2Aaltitude\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take any of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4pi ALIGN=MIDDLE  ALT=\"4pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > sides as base; you already found altitude.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A4pi%2A2%2Asqrt%283%29pi ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A4pi%2A2%2Asqrt%283%29pi\"   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=2pi%5E2%2A2%2Asqrt%283%29pi ALIGN=MIDDLE  ALT=\"2pi%5E2%2A2%2Asqrt%283%29pi\"   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=highlight%284%2Api%5E3%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"highlight%284%2Api%5E3%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or into whichever way that commutative property for multiplication allows that you want.\r<BR>\n" );
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document.write( "student asks for clarification of a detail;<BR>\n" );
document.write( "Please review the steps shown carefully. </SPAN>\n" );
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