Searching for $$n$$

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
1 year, 9 months ago

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please give me a full proof solution . I can't do it .

- 1 year, 4 months ago

Have you heard of the Mean Geometry Theorem?

- 1 year, 8 months ago

no

- 1 year, 8 months ago

i dont have any idea to solve it .please help me .@Calvin Lin @Sharky Kesa @Priyanshu Mishra Pkm

- 1 year, 9 months ago