Orthocenter Symmetry
AKA- Johnson circles, or The 5 lei coin problem
The goal of this page is to prove the property found on the page above (https://www.geogebra.org/m/A2NGCM3K).
Use the scroll bar to unfold the idea behind the proof (or rather, one of the proofs. The law of sines provides a much shorter proof).
pause.
why does ?
once you have answered that question you may continue: