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April 21, 2014

Homework Help: please help - area of a dodecagon?

Posted by Knights on Tuesday, December 18, 2012 at 10:35am.

The distance between two opposite vertices of the dodecagon is 2. Find the area of the dodecagon.

first, what is the area of a dodecagon and second how to find it with just the distance between two oppositve vertices.
i found that a dodecagon can be divided into 24 triangles: an apothem, half of one of the sides, and half of the distance between two oppositite vertices of the dodecagon. So how do we do this ?
BTW I did not learn trigonometry so this can be figured out through geometry.

Thanks a lot for helping me if you can.

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