document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009766>Question 1009766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider an equilateral triangle whose side lengths are each equal to 8 inches shown below. determine the area of the equilateral triangle in simplest radical form. first find the height of the equilateral triangle by using the pythagorean theorem on 1/2 of the equilateral triangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625254 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The height is 4sqrt(3) inches<BR>\n" );
document.write( "Each side is 8 inches<BR>\n" );
document.write( "the altitude bisects the base, so there are two triangles with common height, hypotenuse 8, and short leg 4.<BR>\n" );
document.write( "4^2+x^2=8^2<BR>\n" );
document.write( "16+x^2=64<BR>\n" );
document.write( "x^2=48<BR>\n" );
document.write( "x=4 sqrt (3), altitude<BR>\n" );
document.write( "Area is (1/2)bh=(1/2)(8)(4 sqrt(3))=16 sqrt (3) sq in. </SPAN>\n" );
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