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Geometric inequality in IMO (1964) Q2 (Using Cosine Rule and Trigo Identities)

The unexpectedly hard windmill question (2011 IMO, Q2)
![[Very first IMO in history] 1959 IMO Problem #2: Absolute Value and a Little Graph](https://i.ytimg.com/vi/3jFGouvVvrY/mqdefault.jpg)
[Very first IMO in history] 1959 IMO Problem #2: Absolute Value and a Little Graph

1964 IMO Problem #4

1964 IMO Problem #1

IMO 2004 Problem 2
![An IMO Divisibility Problem [IMO 1964 Problem 1]](https://i.ytimg.com/vi/_3XIyr6Z3dY/mqdefault.jpg)
An IMO Divisibility Problem [IMO 1964 Problem 1]

2012 IMO Problem 2 (Two solutions)
![What Numbers Satisfy this Inequality [IMO 1962 Problem 2]](https://i.ytimg.com/vi/Q0oPyOEmeQs/mqdefault.jpg)
What Numbers Satisfy this Inequality [IMO 1962 Problem 2]

IMO 1962 Problem 2: Classic Radical Inequality

1961 IMO Problem #2
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Last Updated: August 16, 2026
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