Ononot — In a circle, two secants are drawn from an external point P.

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Euclidean 2Dmedium

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In a circle, two secants are drawn from an external point $P$ . One secant intersects the circle at $A$ and $B$ (with $A$ closer to $P$ ), and the other at $C$ and $D$ (with $C$ closer to $P$ ). If $PA = 4$ , $AB = 5$ , and $PC = 3$ , what is $CD$ ?