document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203272>Question 1203272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the perimeter of an equilateral triangle if it’s altitude measures 2√3cm </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838704 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You can use the \"well-known expression\" for the side length of an equilateral triangle in terms of the length of the altitude if you have a love of formulas.<br><BR>\n" );
document.write( "For me that formula is litter for clouding the mind, since the problem is easily solved by simple analysis.<br><BR>\n" );
document.write( "The altitude of an equilateral triangle divides the triangle into two 30-60-90 right triangles, in which the altitude is the long leg and the side length of the triangle is the hypotenuse.<br><BR>\n" );
document.write( "Using the basics of the 30-60-90 right triangle, if the long leg has length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"2%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the short leg has length 2 and the hypotenuse has length 4.<br><BR>\n" );
document.write( "ANSWER: The side length is 4, so the perimeter is 12.<br><BR>\n" );
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