incenter lies on perpendicular, other incircle related
Source: 2009 Oral Moscow Geometry Olympiad grades 10-11 p3
September 14, 2020
geometryincenterperpendicularincircle
Problem Statement
Altitudes and are drawn in the acute-angled triangle . Prove that the perpendicular drawn from the touchpoint of the inscribed circle with the side , on the line passes through the center of the inscribed circle of the triangle .(V. Protasov)