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Let $A$, $B$ and $C$ be three points in a disk, does $f\left(A,B,C\right)=\mbox{Area}\left(\mbox{triangle}\,ABC\right)/\mbox{Perimeter}\left(\mbox{triangle}\,ABC\right)$ have maximum on the boundary?

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    By occurring on the boundary of $D^{3}$, do you mean that A,B and C are all points located on the boundary of the disc?2012-12-05

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