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Omni-MATH / For any set S of five points in the plane, no three of which are collinear, let M(S) and m(S) denote the greatest and smallest areas, respectively, of triangles determined by three…

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problem

For any set SS of five points in the plane, no three of which are collinear, let M(S)M(S) and m(S)m(S) denote the greatest and smallest areas, respectively, of triangles determined by three points from SS. What is the minimum possible value of M(S)/m(S)M(S)/m(S) ?
Plain-text mathematical notation (without MathML)
For any set S of five points in the plane, no three of which are collinear, let M(S) and m(S) denote the greatest and smallest areas, respectively, of triangles determined by three points from S.  What is the minimum possible value of M(S)/m(S) ?
Original LaTeX notation
For any set $S$ of five points in the plane, no three of which are collinear, let $M(S)$ and $m(S)$ denote the greatest and smallest areas, respectively, of triangles determined by three points from $S$.  What is the minimum possible value of $M(S)/m(S)$ ?

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Source and history

task_id
124384f8-fed3-5044-9c8f-981f6312942b
task_key
test--124384f8-fed3-5044-9c8f-981f6312942b
task_revision_id
1
config / split
/ test

Official source

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