Math CentralQuandaries & Queries


Question from Chantel, a student:

Could you please explain to me why the formula for a regular hexagon is 3√3/2 multiplied by side2?

Thank you very much.

Chantel, take a look at this question I answered earlier. It shows you part of what you are asking.

If you use the Pythagorean Theorem to find the height of the triangle I am referring to there, you find that the height is
a2 - (a/2)2 = √3/2 a. Multiply this by the rectangle's width of 3a and you get the formula you were looking for.

Hope this helps,
Stephen La Rocque.

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