Cyclic Quad Lengths

Geometry Level 4

Let \(ABCD\) is a cyclic quadrilateral with \(BD\) parallel to the tangent to the circle at \(A\) with \(AB=10\).

Let \(E\) be the intersection of the tangent from \(B\) and \(AC\). Also, \(F=CD \cap AB\).

Find \(\dfrac{8 \times EB^2\times FB\times AC}{EC \times FC \times FD}\).

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