Geometry Problem 887:
Triangle, Altitude, Angle Bisector, Perpendicular,
Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). Levels:
School, College, Mathematics Education
In a triangle ABC, BH is the altitude, AD and CE are perpendicular to the bisector of angle ABC. If G is the midpoint of AC, prove that E, G, D, H are concyclic points.