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2005 AMC 10B Question 10

AMC10 · 2005 AMC 10B

Question 10

In $\triangle ABC,$ we have $AC = BC = 7$ and $AB = 2.$ Suppose that $D$ is a point on line $AB$ such that $B$ lies between $A$ and $D$ and $CD = 8.$ What is $BD?$
  1. $3$
  2. $2\sqrt{3}$
  3. $4$
  4. $5$
  5. $4\sqrt{2}$