circumcircle tangent to angle bisector
Source: Sharygin 2010 Final 8.1
October 2, 2018
geometrycircumcircleangle bisectortangent
Problem Statement
For a nonisosceles triangle , consider the altitude from vertex and two bisectrices from remaining vertices. Prove that the circumcircle of the triangle formed by these three lines touches the bisectrix from vertex .