document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440596>Question 440596</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A side of an equilateral triangle is 40 m long. What is the area of the triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304310 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304310\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A side of an equilateral triangle is 40 m long. What is the area of the triangle?<BR>\n" );
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document.write( "area is (1/2)*base*height<BR>\n" );
document.write( "the only thing we need is the height -- find it by applying Pythagorean theorem:<BR>\n" );
document.write( "h^2 + 10^2 = 20^2<BR>\n" );
document.write( "h^2 + 100 = 400<BR>\n" );
document.write( "h^2 = 300<BR>\n" );
document.write( "h = sqrt(300)<BR>\n" );
document.write( "h = sqrt(10*10*3)<BR>\n" );
document.write( "h = 10*sqrt(3)<BR>\n" );
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document.write( "area = (1/2)(20)(10*sqrt(3))<BR>\n" );
document.write( "area = (10)(10*sqrt(3))<BR>\n" );
document.write( "area = 100*sqrt(3)<BR>\n" );
document.write( "area = 173.21 sq meters\r<BR>\n" );
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