Ptolemy's Riddle III

Geometry Level 2

A cyclic quadrilateral ABCDABCD is constructed within a circle such that AB=3,BC=6,AB = 3, BC = 6, and ACD\triangle ACD is equilateral, as shown to the right.

If EE is the intersection point of both diagonals of ABCDABCD, what is the length of ED,ED, the blue line segment in the diagram?

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