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Let the side length a regular hexagon be \(a\). Prove that the area of this regular hexagon is \(\dfrac{3\sqrt3 a^2}2 \).

Note by Rohit Camfar 1 month, 1 week ago

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divide hexagon to 6 - equilateral triangles each with side length (a) by joining the center of hexagon to each vetices.

area of each equilateral triangle = sqrt3/4*a^2

area of hexagon = 6sqrt3a^2 /4 = 3sqrt3a^2 /2 – Ahmad Saad · 1 month, 1 week ago

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TopNewestdivide hexagon to 6 - equilateral triangles each with side length (a) by joining the center of hexagon to each vetices.

area of each equilateral triangle = sqrt3/4*a^2

area of hexagon = 6

sqrt3a^2 /4 = 3sqrt3a^2 /2 – Ahmad Saad · 1 month, 1 week agoLog in to reply