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MathNet 2005 — Part 02 Question 150

Math Olympiad Vault · MathNet 2005 — Part 02

Question 150

There are 5 points in a rectangle $ABCD$ (including its boundary) with unit area such that any three of them are not collinear. Find the minimum number of triangles with areas no more than $\frac{1}{4}$ and vertexes chosen from these 5 points. (posed by Leng Gangsong)