Interesting Property of Orthocenter
- Author:
- Esther Gruenhut
- Topic:
- Orthocenter
Use the scroll bar to unfold the setting of this problem
Looks Cute, but nothing particularly special about this.
But what if the chosen point is the orthocenter?
Why does this happen?
Quick answer - the law of sines.
A more detailed geometric proof can be found here https://www.geogebra.org/m/kYWnCxtZ
For further reading - look up Johnson circles