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In a triangle ABC, medians AD and BE are...

In a triangle ABC, medians AD and BE are drawn. If `AD=4, angleDAB=(pi)/(6) and angleABE=(pi)/(3)` then the area of the triangle ABC is :

A

`(16)/(3sqrt(3))`

B

`(32)/(3sqrt(3))`

C

`(64)/(3sqrt(3))`

D

`8//3`

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The correct Answer is:
B
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