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# Isosceles triangle inscribed in red-blue circle

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### #1 witzar

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Posted 04 July 2013 - 12:07 PM

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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### #2 TimeSpaceLightForce

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Posted 04 July 2013 - 12:48 PM   Best Answer

Spoiler for

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### #3 witzar

witzar

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Posted 04 July 2013 - 12:57 PM

Spoiler for

Equilateral triangle is an isosceles triangle.

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### #4 witzar

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Posted 04 July 2013 - 01:18 PM

Spoiler for

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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