Geometry Problem 1260

Elements: Triangle, Internal Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines

In the figure below, ABC is a triangle inscribed in a circle O. Line BDF is the bisector of the angle ABC (D on AC, F on arc AC). Line DEG is perpendicular to BC (E on BC, G on arc BC). If BH is perpendicular to AG, prove that lines BH, FG, and AC are concurrent.


Geometry Problem 1260: Triangle, Internal Angle Bisector, Circumcircle, Circle, Perpendicular, 90 Degrees, Concurrent Lines