Circle Partially in Triangle

Geometry Level 3

In right \(\triangle{ABC}, \angle{B}=90, AB = 5\), and \(BC = 12\). Circle \(O\) is drawn with the center \(O\) on \(AB\), and tangent to the hypotenuse of the triangle and \(BC\). What is the exact radius of the circle, expressed as a decimal?

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