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1972 AMC 12 Question 32

AMC12 · 1972 AMC 12

Question 32

Chords $AB$ and $CD$ in the circle shown intersect at $E$ and are perpendicular to each other. If segments $AE,$ $EB,$ and $ED$ have measures $2,$ $6,$ and $3$ respectively, then the length of the diameter of the circle is:

Question illustration
  1. $4\sqrt5$
  2. $\sqrt{65}$
  3. $2\sqrt{17}$
  4. $3\sqrt7$
  5. $6\sqrt2$