Math CentralQuandaries & Queries


If the area of a regular hexagon is 259.807 how do i find the length of each side, and the apothem? thanks if you can help

Hi Nick,

Look at what Stephen did in response to a question about the area of a hexagon. In her answer a is the side length. As she says you can use Pythagoras theorem to find the height h of the triangle in terms of a. (Actually h is the apothem.) Once you have h in terms of a then

259.807 = 3a x h

and you can solve for a.


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