collinear wanted, starting with incircle of isosceles triangle
Source: 2016 All-Ukrainian Correspondence MO of magazine ''In the World of Mathematics'', grades 5-12 p7
April 27, 2021
geometrycollinearincircleisoscelesUkraine Correspondence
Problem Statement
The circle inscribed in an isosceles triangle () touches the side at point .On the extensions of the segment beyond points and , respectively mark the points and so that , The lines and intersect the circle for second time at points and , respectively. Prove that point belongs to the line .