Unsolved Problem 33:

Is there a constant, A, such that any set in the plane of area A must contain the vertices of a triangle with area 1?


[Croft 1991]
Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry. Springer-Verlag. New York: 1991. Page 182.
Unit Triangles in a Given Area
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