document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268519>Question 268519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 72.  Geometry - Write the area A of an equilateral triangle as a function of the length s of its sides.\r<BR>\n" );
document.write( "\n" );
document.write( "I need help.  Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196765 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=196765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the area A of an equilateral triangle as a function of the length s of its sides. <BR>\n" );
document.write( "I need help. Thanks<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Draw the triangle; label each side \"2s\".<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Draw the altitute; it will bisect the base into s and s.<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Use Pythagoras to determine the length of the altitude:<BR>\n" );
document.write( "h^2 = s^2 + (2s)^2<BR>\n" );
document.write( "h^2 = s^2 + 4s^2<BR>\n" );
document.write( "h^2 = 5s^2<BR>\n" );
document.write( "h = s*sqrt(5)<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "Area of the triangle = (1/2)(height)(base)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A = (1/2)(s*sqrt(5)(2s)<BR>\n" );
document.write( "A = (1/2)(sqrt(5)((1/2)side)(side)<BR>\n" );
document.write( "A = (sqrt(5)/4)(side)^2<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );