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Isosceles triangle inscribed in red-blue circle

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Each point of the circle is painted either red or blue.

Prove, that there exists isosceles triangle inscribed in the circle with all its vertices of the same color.

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reg pentagon vertex makes it, but i'm thinking of arms longer than base?

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Posted · Report post

reg pentagon vertex makes it, but i'm thinking of arms longer than base?

Equilateral triangle is an isosceles triangle.

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Posted · Report post

reg pentagon vertex makes it, but i'm thinking of arms longer than base?

Equilateral triangle is an isosceles triangle.

I guess my last answer makes no sense.

What I meant to say is this: arms can be longer, shorter or equal to the base.

As long as arms are of equal length, a triangle is isosceles.

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