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			The altitudes of a triangle are bisectors in the orthic triangle | plane geometry | intermediate
								1 year ago							
						
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												Health & Science					
								
												mathematics					
								
												geometry					
								
												plane geometry					
								
												classical geometry					
								
												Euclidean geometry					
								
												circle					
								
												quadrilateral					
								
												inscribed quadrilateral					
								
												cyclic quadrilateral					
								
												bisector					
					
					
			
	
					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
The same video on YouTube:
https://youtu.be/F5usr1KTLiw
The same video on Telegram:
https://t.me/mathematical_bunker/99
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