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Answer:

AD = 6

Step-by-step explanation:

If a radius is perpendicular to a chord, then it bisects the chord.

Here XB is the radius, AC is the chord. Given XB and AC are perpendicular to each other. Therefore, XB bisects AC at D.

So,

    [tex]AD = \frac{1}{2} \times AC = \frac{1}{2} \times 12 = 6[/tex]

         

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