MathDB
JBMO 2016 Problem 1

Source:

June 26, 2016
geometrytrapezoidincenter

Problem Statement

A trapezoid ABCDABCD (ABCFAB || CF,AB>CDAB > CD) is circumscribed.The incircle of the triangle ABCABC touches the lines ABAB and ACAC at the points MM and NN,respectively.Prove that the incenter of the trapezoid ABCDABCD lies on the line MNMN.