Let ABC be a triangle with AB>AC. Let D be a point on side AB such that BD=AC. Consider the circle γ passing through point D and tangent to side AC at point A. Consider the circumscribed circle ω of the triangle ABC that interesects the circle γ at points A and E. Prove that point E is the intersection point of the perpendicular bisectors of line segments BC and AD. geometryperpendicular bisectorconcurrencyconcurrent