Geometry Problems, Online Education

Problem 542: Right Triangle, Altitude, Angle Bisector, Perpendicular, 90 Degrees. Level: High School, SAT Prep, College

The figure shows a right triangle ABC with the altitude BD. AE bisects angle BAC, and BF bisects angle CBD. Prove that AE and BF are perpendicular.
 

Right triangle, angle bisector, perpendicular
 

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