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Isosceles triangle inscribed in red-blue circle


Best Answer TimeSpaceLightForce, 04 July 2013 - 12:48 PM

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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

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#3 witzar

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Posted 04 July 2013 - 12:57 PM

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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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