Difference between revisions of "2023 IMO Problems/Problem 6"
(Created page with "==Problem== Let <math>ABC</math> be an equilateral triangle. Let <math>A_1,B_1,C_1</math> be interior points of <math>ABC</math> such that <math>BA_1=A_1C</math>, <math>CB_1=B...") |
(No difference)
|
Revision as of 07:14, 14 July 2023
Problem
Let be an equilateral triangle. Let be interior points of such that , , , and Let and meet at let and meet at and let and meet at Prove that if triangle is scalene, then the three circumcircles of triangles and all pass through two common points.
(Note: a scalene triangle is one where no two sides have equal length.)
Solution
https://www.youtube.com/watch?v=jZNIpapyGJQ [Video contains solutions to all day 2 problems]