The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate

Episode 75.

The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate.
The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate level.

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

Theorem. Let $ABC$ be a triangle and let $AH_A$, $BH_B$, $CH_C$ be the altitudes in this triangle. Then these lines $AH_A$, $BH_B$, $CH_C$ are also the bisectors in the orthic triangle $H_AH_BH_C$.

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

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