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CAT 2022 Set-2 | Quantitative Aptitude | Question-7

The length of each side of an equilateral triangle $A B C$ is $3 \mathrm{~cm}$. Let $D$ be a point on $B C$ such that the area of triangle $A D C$ is half the area of triangle $A B D$. Then the length of $A D$, in $\mathrm{cm}$, is

  1. $\sqrt{7}$
  2. $\sqrt{6}$
  3. $\sqrt{8}$
  4. $\sqrt{5}$


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