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(Quadrilateral,Triangle) wz maximum area

By 0xA28, history, 9 years ago, In English

on 2D cartesian coordinate system.. Does the quadrilateral which has maximum area must have three overlapped points with one of the triangles which also have maximum area ? please provide a proof/counter example

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9 years ago, # |
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Auto comment: topic has been updated by 0xA28 (previous revision, new revision, compare).

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9 years ago, # |
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No. Consider grid points inside some large circle (say, with center at (0, 0) and radius 10). Obviously, the largest triangle will be almost equilateral, and the largest quadrilateral will also be almost equilateral (almost a square).

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    9 years ago, # ^ |
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    That's pretty convincing ..thanks alot

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