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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