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Vertices to incircle (Posted on 2019-03-30) Difficulty: 3 of 5
Let A1, A2...An be the vertices of a regular n-sided polygon P. Let X be a random point on the incircle of P. Prove that

A1X2 + A2X2 + ... + AnX2 = nR2(1 + cos2(pi/n))

Here, R denotes the circumradius of P.

No Solution Yet Submitted by Danish Ahmed Khan    
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  Subject Author Date
Solutionarmando2019-04-07 16:57:57
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