witzar Posted July 4, 2013 Report Share Posted July 4, 2013 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. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted July 4, 2013 Report Share Posted July 4, 2013 reg pentagon vertex makes it, but i'm thinking of arms longer than base? Quote Link to comment Share on other sites More sharing options...
0 witzar Posted July 4, 2013 Author Report Share Posted July 4, 2013 reg pentagon vertex makes it, but i'm thinking of arms longer than base? Equilateral triangle is an isosceles triangle. Quote Link to comment Share on other sites More sharing options...
0 witzar Posted July 4, 2013 Author Report Share Posted July 4, 2013 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. Quote Link to comment Share on other sites More sharing options...
Question
witzar
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.
Link to comment
Share on other sites
3 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.