Geometry Problem 1336: Right Triangle, Cevian, Double Angle, Perpendicular, 90 Degrees, Midpoint

In a right triangle ABC (angle B = 90 degrees), D is the midpoint of BC and E lies on AC such that angle EDB is twice angle ABE. Prove that BE is perpendicular to AC.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.


Geometry Problem 1336: Right Triangle, Cevian, Double Angle, Perpendicular, 90 Degrees, Midpoint, Tutoring

See also:
Geometry problem 354


 

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