document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193629>Question 1193629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In regular hexagon ABCDEF, the length of <BR>\n" );
document.write( "AB<BR>\n" );
document.write( " is x centimeters.\r<BR>\n" );
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document.write( "Regular hexagon A B C D E F is given. Two line segments lie inside the hexagon: diagonals B F and C F.<BR>\n" );
document.write( "In terms of x, find the length in centimeters of the following.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "diagonal <BR>\n" );
document.write( "BF?cm<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "diagonal <BR>\n" );
document.write( "CF?cm </SPAN>\n" );
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document.write( "Picture the regular hexagon as being composed of 6 congruent equilateral triangles.<br><BR>\n" );
document.write( "Then consider triangle CBF. Angle C is 60 degrees; angle F is half of 60 degrees, or 30 degrees.<br><BR>\n" );
document.write( "So triangle CBF is a 30-60-90 right triangle, with short leg BC of length x.<br><BR>\n" );
document.write( "That makes BF (the long leg) x*sqrt(3) and CF (the hypotenuse) 2x.<br><BR>\n" );
document.write( "ANSWERS: BF = x*sqrt(3) cm; CF = 2x cm.<br><BR>\n" );
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