hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.
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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 "
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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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
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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