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

exercise

$$\mathrm{exercise} \\ $$ Consider a polygon with an odd number �� 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?\\n

Commented bynikif99 last updated on 01/Sep/22

I think there is no solution for non  regular polygons.

$${I}\:{think}\:{there}\:{is}\:{no}\:{solution}\:{for}\:{non} \\ $$ $${regular}\:{polygons}. \\ $$

Commented bygreg_ed last updated on 31/Aug/22

no idea !

$$\boldsymbol{\mathrm{\color{mathred}{n}\color{mathred}{o}}}\color{mathred}{\:}\boldsymbol{\mathrm{\color{mathred}{i}\color{mathred}{d}\color{mathred}{e}\color{mathred}{a}}}\color{mathred}{\:}\color{mathred}{!} \\ $$

Commented bymr W last updated on 04/Sep/22

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

$${then}\:{consider}\:{it}\:{as}\:{regular}\:{polygon} \\ $$ $${and}\:{try}\:{to}\:{solve}\:{it}. \\ $$

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