MathDB
Mexican midpoint

Source: Mexican Mathematical Olympiad 2006 P5

July 31, 2018
geometrymidpoint

Problem Statement

Let ABCABC be an acute triangle , with altitudes AD,BEAD,BE and CFCF. Circle of diameter ADAD intersects the sides AB,ACAB,AC in M,NM,N respevtively. Let P,QP,Q be the intersection points of ADAD with EFEF and MNMN respectively. Show that QQ is the midpoint of PDPD.
Back to ProblemsView on AoPS