Geometry

Triangle ABC is given in the plane. Let AD be the angle bisector of ∠BAC; let BE be the altitude from B to AD, and let F be the midpoint of AB. Given that AB = 28, BC = 33, CA = 37, what is the length of EF ? 

See our previous ‘Questions of the Day’:

Quant Question Of The Day: 95
Quant Question Of The Day: 94