In the figure above, \(AB,\) which has length \(z \, \text{cm},\) is tangent to the circle at point \(A,\) and \(BD,\)

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In the figure above, \(AB,\) which has length \(z \, \text{cm},\) is tangent to the circle at point \(A,\) and \(BD,\) which has length \(y\, \text{cm},\) intersects the circle at point \(C.\) If \(BC = x \, \text{cm}\) and \(z=\sqrt{xy},\) what is the value of \(x?\)

(1) \(CD = x \, \text{cm}\)

(2) \(z=5\sqrt2\)

Answer: C

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