Line through incenter tangent to a circle
Source: Indian TST D1 P1
July 17, 2019
geometryincenter
Problem Statement
In an acute angled triangle with , let denote the incenter and the midpoint of side . The line through perpendicular to intersects the tangent from to the incircle (different from line ) at a point > Show that is tangent to the circumcircle of triangle .Proposed by Tejaswi Navilarekallu