ABC is an isosceles triangle with AB=AC and the angle in A is less than 60∘. Let D be a point on AC such that ∠DBC=∠BAC. E is the intersection between the perpendicular bisector of BD and the line parallel to BC passing through A. F is a point on the line AC such that FA=2AC (A is between F and C).
Show that EB and AC are parallel and that the perpendicular from F to AB, the perpendicular from E to AC and BD are concurrent. geometrycircumcircleparallelogramrhombusperpendicular bisectorgeometry unsolved