Carnot's Thereom
From AoPSWiki
Carnot's Theorem states that in a triangle 
with 
, 
, and 
, perpendiculars to the sides 
, 
, and 
at 
, 
, and 
are concurrent if and only if 
.
Contents |
Proof
This proof is incomplete. You can help us out by completing it.
Problems
Olympiad
is a triangle. Take points 
on the perpendicular bisectors of 
respectively. Show that the lines through 
perpendicular to 
respectively are concurrent. (Source)
