What is the length of AC

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Answers

Theorem required: secants theorem All secants drawn from a point exterior to a circle will have the products of the secant and the external segment equal. For the given example, we have, from the secants theorem, CA*CB=CE*CD, where CA and CE are secants, and CB and CD are external segments. Substitute numbers, CA*CB=CE*CD => CA*6 = 12*5 => CA = 12*5/6=10 => AC=10

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