Geometry question to test the world's best math students (IMO 2024 problem 4)

The 2024 International Mathematical Olympiad has just wrapped up. Let's work out this geometry problem.

0:00 intro
2:15 problem
4:02 review
6:33 diagram
9:22 proof

Thanks to Nestor and Tony for spotting an error in a draft video about the incircle property definition!

IMO official
https://www.imo-official.org/problems...
https://www.imo-official.org/year_sta...
Dedekind cuts video
   • IMO 2024 Problem 4 - the *ONLY* geometry t...  
IMO 2024 solutions
https://static1.squarespace.com/stati...
concyclic
https://brainly.in/question/6873430

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