Exact Trilinear Coordinates

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Given a reference triangle , the trilinear coordinates of a point
with respect to that triangle is any ordered triple of numbers proportional to the directed distances from
to the directed sides (or their extensions as infinite directed lines)
,
, and
, in that order. Exact trilinear coordinates are trilinear coordinates normalized to be the actual distances of
to each of the three sides. The sign of a distance is taken as positive if
is on the same side of the directed triangle as the triangle and negative otherwise. You can drag the vertices to modify the triangle and the point
.
Contributed by: Jaime Rangel-Mondragon (July 2014)
Open content licensed under CC BY-NC-SA
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"Exact Trilinear Coordinates"
http://demonstrations.wolfram.com/ExactTrilinearCoordinates/
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Published: July 17 2014