document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42824>Question 42824</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I'm trying to figure out a problem with a hexagon. I need to find the side of a regular hexagon if the it is 18 inches apart from midpoint to midpoint. Any help would be greatly appreciated!<BR>\n" );
document.write( "Thankyou! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27915 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use trig to do this...<BR>\n" );
document.write( "Make a triangle with the segment connecting the midpoints of the sides as the base...<BR>\n" );
document.write( "Then bisect the top angle and drop an altitude, making two right triangles...<BR>\n" );
document.write( "Each right triangle has a top angle of 67.5 degrees...the long leg is 9, which is half of the 18...the hypotenuse is half the side of the hexagon...<BR>\n" );
document.write( "Thus sin 67.5 = 9/x and<BR>\n" );
document.write( "x = 9 / (sin 67.5) = 9.74<BR>\n" );
document.write( "and the side is double that, or about<BR>\n" );
document.write( "19.48 inches </SPAN>\n" );
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