Geometry Problem 1251

Elements: Triangle, Circle, Diameter, Perpendicular, 90 Degrees

In a triangle ABC, the circle O of diameter AC cuts AB and BC at E and D, respectively as shown in the figure below. A point F is on the circle O and GH is perpendicular to BF at F (G on DA extended and H on EC extended). Prove that GB and BH are perpendicular.

 


Geometry Problem 1251: Triangle, Circle, Diameter, Perpendicular, 90 Degrees