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Question Number 175409 by henderson last updated on 29/Aug/22

exercise  Consider a polygon with an odd number 𝗻 of vertices. We connect any 3 vertices of this polygon to form a triangle.    What is the probability that this triangle contains the center of the circle circumscribing the polygon?

exerciseConsider a polygon with an odd number 𝗻 of vertices. We connect any 3 vertices of this polygon to form a triangle. What is the probability that this triangle contains the center of the circle circumscribing the polygon?

Commented by nikif99 last updated on 01/Sep/22

I think there is no solution for non  regular polygons.

Ithinkthereisnosolutionfornonregularpolygons.

Commented by greg_ed last updated on 31/Aug/22

no idea !

noidea!

Commented by mr W last updated on 04/Sep/22

then consider it as regular polygon  and try to solve it.

thenconsideritasregularpolygonandtrytosolveit.

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