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Practice: The Power of a Point Theorem

A circle with center 𝑀 has a radius of 11 cm. Point 𝐴 lies 8 cm from 𝑀 and belongs to the chord 𝐵𝐶. Given that 𝐴𝐵=3𝐴𝐶, calculate the length of 𝐵𝐶, giving your answer to the nearest hundredth.


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