Fermat point

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The Fermat point (also called the Torricelli point) of a triangle $\triangle ABC$ is a point $P$ which has the minimum total distance to three vertices (i.e., $AP+BP+CP$).

Construction

A method to find the point is to construct three equilateral triangles out of the three sides from $\triangle ABC$, then connect each new vertex to each opposite vertex, as these three lines will concur at first Fermat point.

See Also

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