projection of intersection of external <C-bisector and AB, on OI
Source: 2009 Sharygin Geometry Olympiad Final Round problem 3 grade 10
July 26, 2018
geometrydistanceangle bisector
Problem Statement
The cirumradius and the inradius of triangle are equal to and are the centers of respective circles. External bisector of angle intersect in point . Point is the projection of to line . Find distance (A.Zaslavsky, A.Akopjan)