The Sum of the Trilinear Coordinates of a Point
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Given a triangle , the trilinear coordinates of a point
are the signed distances to the extended sides. Denote the signed distances of
to
,
and
by
,
and
, respectively. If
and the incenter
are in the same half-plane determined by a side, the signed distance to that side is positive; otherwise, it is negative.
Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA
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