The angles between sides of triangle and altitude and circumcenter | plane geometry | intermediate

Episode 55.

The angles between sides of triangle and altitude and circumcenter | plane geometry | intermediate.
The angle between a side of a triangle and an altitude and the angle between another side and the line connecting the vertex with the circumcenter are equal to each other | plane geometry | intermediate level.

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

Theorem. Let $ABC$ be a triangle. Let $BH_B$ be the altitude and $O$ be the circumcenter of the triangle $ABC. Then $\angle{CBH_B}=\angle{ABO}$.

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

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