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2009 AMC 10A Question 10

AMC10 · 2009 AMC 10A

Question 10

Triangle $ABC$ has a right angle at $B.$ Point $D$ is the foot of the altitude from $B,$ $AD = 3,$ and $DC = 4.$ What is the area of $\triangle ABC?$

Question illustration
  1. $4\sqrt{3}$
  2. $7\sqrt{3}$
  3. $21$
  4. $14\sqrt{3}$
  5. $42$