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1960 AMC 12 Question 40

AMC12 · 1960 AMC 12

Question 40

Given right triangle $ABC$ with legs $\overline{BC}=3,$ $\overline{AC}=4.$ Find the length of the shorter angle trisector from $C$ to the hypotenuse:
  1. $\dfrac{32\sqrt3-24}{13}$
  2. $\dfrac{12\sqrt3-9}{13}$
  3. $6\sqrt3-8$
  4. $\dfrac{5\sqrt{10}}6$
  5. $\dfrac{25}{12}$