olymmath

CMO 2005 Problem 5

  • Day 2

There are 5 points in a rectangle (including its boundary) with area 1, no three of them are in the same line. Find the minimum number of triangles with the area not more than 14\frac 1{4} , vertex of which are three of the five points.

Dataset text AI-MO AoPS. Quoted with source.

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