![[Very first IMO in history] 1959 IMO Problem #4: Triangle and Geometric Mean](https://i.ytimg.com/vi/NmlRHZSC_aU/mqdefault.jpg)
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Last Updated: October 20, 2026
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Hello everybody in this lecture we will be solving The International Mathematical Olympiad ( A beautiful puzzle that eluded AI, and the intuition it requires. our virtual career fair: 3b1b.co/talent See new ... We present a triangle whose median to the hypotenuse is the geometric mean of the length of the two legs. Join us to play around ... Topic: Algebra Subtopic: Functional Equations. Based on Yufei Zhao's "diameter of the incircle" lemma...
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