In a triangle ABC,AD and BE are medians drawn to BC and CA respectivel – InterviewSolution

1.	In a triangle ABC,AD and BE are medians drawn to BC and CA respectively. Given AD=4,∠DAB=π6 and∠ABE=π3. If the area of triangle ABC is p√3q, where p and q are co-prime, then the value of p+q is
Answer» In a triangle $A B C, A D$ and $B E$ are medians drawn to $B C$ and $C A$ respectively. Given $A D = 4, ∠ D A B = \frac{π}{6}$ and $∠ A B E = \frac{π}{3} .$ If the area of triangle $A B C$ is $\frac{p}{\sqrt{3} q},$ where $p$ and $q$ are co-prime, then the value of $p + q$ is

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