Report B 99-07
April 1999
In this note we prove that in a set of n points in the plane, not all on a line, the maximum area of a triangle is reached by at most n of the $\{n\choose 3}$ triangles determined by these points, and this number of maximum-area triangles is reached by several constructions. This answers a question of Erdös and Purdy of 1971.
Get the report here or by anonymous ftp: Server: fubinf.inf.fu-berlin.de File: pub/reports/tr-b-99-07.ps.gz