MathDB
perpendicular wanted, perpendiculars inside parallelogram

Source: 2010 Oral Moscow Geometry Olympiad grades 10-11 p4

May 8, 2020
geometryparallelogramperpendicular

Problem Statement

From the vertex AA of the parallelogram ABCDABCD, the perpendiculars AM,ANAM,AN on sides BC,CDBC,CD respectively. PP is the intersection point of BNBN and DMDM. Prove that the lines APAP and MNMN are perpendicular.
Back to ProblemsView on AoPS