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

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, Math Infographic

See solution below

See also:
Geometry problem 354


 


Geometry Problem 1336 Solution(s)