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2014-12-05T11:50:23+05:30

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Side of equilateral triangle = 12 " = 36" /3
    then its   area is  = √3/4 * 12² = 36 √3 sq inches
area of hexagon = total area of 6 equilateral triangles of hexagon
           36 √3 = 6 * area of 1/6th triangle inside hexagon
           side of hexagon = a
   √3/4 a² = 6 √3
 
           a² = 24
                    a = 2√6 "


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2014-12-05T16:08:41+05:30
Side of equilateral triangle=36/3=12 inch
                           area=(√3/4)12²=√3*36
         let length be a
         Then area of hexagon=6*√3*a²/4=√3*36
                                         ⇒ a²=24
                                         ⇒  a= √24=4.8989
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