Thread: Cyclic Quadrilateral

There is a given cyclic quadrilateral ABCD with perpendicular diagonals AC and BD intersected at point O.
Through this point passes line perpendicular upon AD. Show it bisects BC.

Originally Posted by bane

There is a given cyclic quadrilateral ABCD with perpendicular diagonals AC and BD intersected at point O.
Through this point passes line perpendicular upon AD. Show it bisects BC.

Hint: Show that the triangles OFB, OFC are both isosceles.

OK, I get it! Thanks for your contribution