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1961 AMC 12 Question 11

AMC12 · 1961 AMC 12

Question 11

Two tangents are drawn to a circle from an exterior point $A;$ they touch the circle at points $B$ and $C,$ respectively. A third tangent intersects segment $AB$ in $P$ and $AC$ in $R,$ and touches the circle at $Q.$ If $AB=20,$ then the perimeter of triangle $APR$ is:
  1. $42$
  2. $40.5$
  3. $40$
  4. $39\dfrac78$
  5. not determined by the given information