Geometry Problem 1384: Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree
Proposition
The figure below shows a triangle ABC with the
orthocenter H and the internal bisector BD. Line EHF is perpendicular to
BD. The circumcircle of the triangle BEF cuts the circumcircle of the
triangle ABC at G. Prove that the measure of angle HGB is 90 degrees.
See also
Art of problem 1384
Conformal Mapping or Transformation of Problem
1382
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