document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132208>Question 1132208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A regular hexagon has sides of length 8cm. With the aid of a diagram find the perpendicular distance between two opposite faces. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749189 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</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=749189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Think of the regular hexagon as being composed of 6 equilateral triangles.<br><BR>\n" );
document.write( "The distance between opposite edges (not faces) is twice the height of one of the equilateral triangles.  Dividing each equilateral triangle into two 30-60-90 right triangles shows the height of each triangle to be (sqrt(3)/2) times the edge length.<br><BR>\n" );
document.write( "And that makes the distance between opposite edges (sqrt(3)) times the edge length. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );