In the figure above, circle A intersects circle B in exactly one point, CD is tangent to both circles, circle A has a radius of 2, and circle B has a radius of 8. What is the length of CD?
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According to the theorem,
AP × BP = CP × PD
⇒ AP × 4 = 8 × 5
⇒ AP = 10
∴ Chord AB = AP + BP = 10 + 4 = 14 cm
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