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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Posted 04 July 2013 - 01:18 PM
Spoiler forreg 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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