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The angles between sides of triangle and altitude and circumcenter | plane geometry | intermediate
1 year ago
35
Health & Science
mathematics
geometry
classical geometry
Euclidean geometry
plane geometry
angle
altitude
triangle
orthocenter
circumcenter
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
The same video on YouTube:
https://youtu.be/m999hICrB1o
The same video on Telegram:
https://t.me/mathematical_bunker/79
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