Let \(\Delta ABC\) be an arbitrary triangle. On the three sides of \(\Delta ABC\), three regular \(n\)-gons external to the triangle are drawn. Find all values of \(n\) for which the centers of the \(n\)-gons are vertices of an equilateral triangle.

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TopNewestplease give me a full proof solution . I can't do it . – Abdullah Ahmed · 3 months, 2 weeks ago

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Have you heard of the Mean Geometry Theorem? – Ameya Daigavane · 7 months, 3 weeks ago

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– Abdullah Ahmed · 7 months, 3 weeks ago

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i dont have any idea to solve it .please help me .@Calvin Lin @Sharky Kesa @Priyanshu Mishra Pkm – Abdullah Ahmed · 8 months, 1 week ago

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