# 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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