document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205543>Question 1205543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello\r<BR>\n" );
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document.write( "It was explained to me that for a regular hexagon <BR>\n" );
document.write( "the parrallel height from edge (a) to edge (a) is 2 over root 3.\r<BR>\n" );
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document.write( "For a regular hexagon of sides a = 1<BR>\n" );
document.write( "How do you prove the side to side dimension is equal to (2 over root3)?\r<BR>\n" );
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document.write( "sides a = 1<BR>\n" );
document.write( "h= 2Ri\r<BR>\n" );
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document.write( "Where Ri = (Root3 over 2)x a\r<BR>\n" );
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document.write( "When I substitute (Root 3 over 2) x a into the formula for h\r<BR>\n" );
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document.write( "I get,  2(root 3 over 2) x a\r<BR>\n" );
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document.write( "Where a = 1\r<BR>\n" );
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document.write( "How do I transpose the formula to prove<BR>\n" );
document.write( "h = 2 over root 3 ?\r<BR>\n" );
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document.write( "Your advice would be much appreciated.\r<BR>\n" );
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document.write( "Kind Regards\r<BR>\n" );
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document.write( "HayesD\r<BR>\n" );
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document.write( "Resources for formulae<BR>\n" );
document.write( "https://calcresource.com/geom-hexagon.html\r<BR>\n" );
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document.write( "https://calckit.io/tool/geometry-hexagon\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842420 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=842420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "When the side length of the regular hexagon is 1, the distance between parallel sides of the hexagon is NOT 2/sqrt(3).<br><BR>\n" );
document.write( "The distance, as you have found, is 2(sqrt(3)/2) = sqrt(3).<br><BR>\n" );
document.write( "Picture the regular hexagon as being composed of 6 equilateral triangles.<br><BR>\n" );
document.write( "Draw a line connecting opposite sides of the hexagon, dividing 2 of those equilateral triangles each into two 30-60-90 right triangles.  In those right triangles, the short leg is 1/2, so the long leg is sqrt(3)/2; and the distance between the opposite sides of the hexagon is twice that, which is sqrt(3).<br><BR>\n" );
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