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2018 JBMO Problems

Revision as of 02:11, 1 August 2019 by Jatsing (talk | contribs) (Created page with "Problems/Problem 4 Let <math>\triangle ABC</math> and <math>A'</math>,<math>B'</math>,<math>C'</math> the symmetrics of vertex over opposite sides.The intersection of the circ...")
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Problems/Problem 4 Let $\triangle ABC$ and $A'$,$B'$,$C'$ the symmetrics of vertex over opposite sides.The intersection of the circumcircles of $\triangle ABB'$ and $\triangle ACC'$ is $A_1$.$B_1$ and $C_1$ are defined similarly.Prove that lines $AA_1$,$BB_1$ and $CC_1$ are concurent.

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