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The Coordinates of a Point Relative to a Triangle

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Let be a triangle with side lengths , , . Let be any point and , , be the algebraic distance from to , , , respectively.

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Let and be the Conway triangle parameters for triangle and set the coordinates of the base to be and .

Then the Cartesian coordinates of the other two points are:

,

.

Also,

,

,

.

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Contributed by: Minh Trinh Xuan (August 2022)
Open content licensed under CC BY-NC-SA

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