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1973 AMC 12 Question 9

AMC12 · 1973 AMC 12

Question 9

In $\triangle ABC$ with right angle at $C,$ altitude $CH$ and median $CM$ trisect the right angle. If the area of $\triangle CHM$ is $K,$ then the area of $\triangle ABC$ is
  1. $6K$
  2. $4\sqrt3K$
  3. $3\sqrt3K$
  4. $3K$
  5. $4K$