Geometry Problem 1258

Elements: Cyclic Quadrilateral, Concyclic Points, Measurement

In the figure below, ABCD is a cyclic quadrilateral with AC and BD intersecting at E. AF = AG = BD (F on AD, G on AB) so that points A, F, E, and G are concyclic. If AE = 5 and BC = 4, find CD.


Geometry Problem 1258: Cyclic Quadrilateral, Concyclic Points, Measurement