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Omni-MATH / If 5 points are placed in the plane at lattice points (i.e. points (x,y) where x and y are both integers) such that no three are collinear, then there are 10 triangles whose vertic…

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problem

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 ?
Plain-text mathematical notation (without MathML)
If 5 points are placed in the plane at lattice points (i.e. points (x,y) where x and y 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 1/2 ?
Original LaTeX notation
If 5 points are placed in the plane at lattice points (i.e. points $(x, y)$ where $x$ and $y$ 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 $1 / 2$ ?

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Source and history

task_id
b60b02ad-2d2e-57f3-a510-a981695314dc
task_key
test--b60b02ad-2d2e-57f3-a510-a981695314dc
task_revision_id
1
config / split
/ test

Official source

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