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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.

Note by Abdullah Ahmed
10 months, 1 week ago

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please give me a full proof solution . I can't do it . Abdullah Ahmed · 5 months, 2 weeks ago

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Have you heard of the Mean Geometry Theorem? Ameya Daigavane · 9 months, 3 weeks ago

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@Ameya Daigavane no Abdullah Ahmed · 9 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 · 10 months, 1 week ago

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