A suprising property of regular polygons.
I found this from
http://www.futilitycloset.com/2011/08/04/a-side-matter/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+FutilityCloset+%28Futility+Closet%29
Proof for pentagon can be found in
Mathematical diamonds by Ross Honsberger
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