document.write( "Question 78947: please show me how to find the area of a regular hexagon with a perimeter of 100cm. \n" ); document.write( "
Algebra.Com's Answer #56668 by stanbon(75887)\"\" \"About 
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please show me how to find the area of a regular hexagon with a perimeter of 100cm.
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\n" ); document.write( "Each side is 100/6 cm
\n" ); document.write( "Draw two consecutive line segments from the center
\n" ); document.write( "forming a triangle with the side.
\n" ); document.write( "The central angle is 360/6=60 degrees.
\n" ); document.write( "So the base angles are each 60 degrees also.
\n" ); document.write( "Draw the perpendicular bisector from the center
\n" ); document.write( "to the base. Each of the small triangles is a
\n" ); document.write( "60-30-90 rt triangle. The side opposite the
\n" ); document.write( "30 degree angle (half the side of the hexagon)
\n" ); document.write( "is half the hypotenuse. Knowing two of the sides
\n" ); document.write( "of the triangle you can find the altitude of the
\n" ); document.write( "60-60-60 triangle. You can now find the area
\n" ); document.write( "of the 60-60-60 triangel. Multiply that area
\n" ); document.write( "by six to get the area of the hexagon.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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