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In a triangle ABC,B=30^(@),c=150,b=50sqr...

In a triangle `ABC,B=30^(@),c=150,b=50sqrt(3) .a_(1),a_(2)` are the two values of the third side a."x" and "y" are respectively the arithmetic and geometric means of `a_(1) and a_(2)` then `((x)/(sqrt(3)))^(2)-((y)/(sqrt(6)))^(2)` is equal to `(k)^(5)` where `k=`

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