# Two Tangents Revisited

Geometry Level pending

The radius of the circle is 5. The distance from $$A$$ to the center of the circle is 13. Points $$B$$ and $$C$$ are located on tangents to the circle from $$A$$ and the line of $$BC$$ is tangent to the circle. The distance between is $$B$$ and $$C$$ is 7.

Given $$AC<AB$$ compute $$AC$$ to 3 decimal places.

Inspiration: Two Tangents by Ciprian Florea

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