olymmath

HMMT 1999 T10

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If 5 points are placed in the plane at lattice points (i.e. points (x,y)(x, y) where xx and yy are both integers) such that no three are collinear, then there are 10 triangles whose vertices are among these points. What is the minimum possible number of these triangles that have area greater than 1/21 / 2 ?

Dataset text NuminaMath olympiads. Quoted with source.

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