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MathNet 2004 — Part 03 Question 17

Math Olympiad Vault · MathNet 2004 — Part 03

Question 17

We say a point is contained in a square if it is in its interior or on its boundary. Three unit squares are given in the plane such that there is a point contained in all three. Furthermore, three points $A, B, C$, are given, each contained in at least one of the squares. Find the maximum area of triangle $A B C$.