Geometry Problem 1272

Elements: Isosceles Triangle, Median, Midpoint, Perpendicular, 90 Degrees, Angles, Congruence

In an isosceles triangle ABC (AB = BC), N is the midpoint of the median BM and MD is perpendicular to CN (see the figure below). Prove that the angles BAD and ACN are equal.


Geometry Problem 1272: Isosceles Triangle, Median, Midpoint, Perpendicular, 90 Degrees, Angles, Congruence

See also:
Geometry problem 1271 in motion