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Omni-MATH / We say a point is contained in a square if it is in its interior or on its…

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problem

We say a point is contained in a square if it is in its interior or on its boundary. Three unit squares are given in the plane such that there is a point contained in all three. Furthermore, three points A,B,CA, B, C, are given, each contained in at least one of the squares. Find the maximum area of triangle ABCA B C.
Plain-text mathematical notation (without MathML)
We say a point is contained in a square if it is in its interior or on its boundary. Three unit squares are given in the plane such that there is a point contained in all three. Furthermore, three points A,B,C, are given, each contained in at least one of the squares. Find the maximum area of triangle ABC.
Original LaTeX notation
We say a point is contained in a square if it is in its interior or on its boundary. Three unit squares are given in the plane such that there is a point contained in all three. Furthermore, three points $A, B, C$, are given, each contained in at least one of the squares. Find the maximum area of triangle $A B C$.

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Source and history

task_id
f0704d70-3e77-52ba-a550-b99a5727d716
task_key
test--f0704d70-3e77-52ba-a550-b99a5727d716
task_revision_id
1
config / split
/ test

Official source

initial import