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)![]() ![]() ![]() You can put this solution on YOUR website! please show me how to find the area of a regular hexagon with a perimeter of 100cm. \n" ); document.write( "---------------- \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. \n" ); document.write( "============= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |