The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level

Episode 111.

The first Fermat-Torricelli point of a triangle | plane geometry | intermediate level.

Branch of mathematics: plane geometry.
Difficulty level: intermediate.

Theorem. Let $ABC$ be a triangle. Let $BCP$, $CAQ$, $ABR$ be equilateral triangles constructed on the sides of the triangle $ABC$ to the outside. Then the lines $AP$, $BQ$, $CR$ intersect at a single point, which is called the first Fermat-Torricelli point of the triangle $ABC$.

Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry

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