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1956 AMC 12 Question 14

AMC12 · 1956 AMC 12

Question 14

The points $A,$ $B,$ and $C$ are on a circle $O.$ The tangent line at $A$ and the secant $BC$ intersect at $P,$ $B$ lying between $C$ and $P.$ If $BC=20$ and $PA=10\sqrt3,$ then $PB$ equals:
  1. $5$
  2. $10$
  3. $10\sqrt3$
  4. $20$
  5. $30$