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1984 AMC 12 Question 26

AMC12 · 1984 AMC 12

Question 26

In the obtuse triangle $ABC,$ $AM=MB,$ $MD\perp BC,$ $EC\perp BC.$ If the area of $\triangle ABC$ is $24,$ then the area of $\triangle BED$ is

Question illustration
  1. $9$
  2. $12$
  3. $15$
  4. $18$
  5. not uniquely determined