SSC Government Jobs Exams Numerical Ability Geometry

If tan (x) = 3/4 and 0 <(x)<90 then the value of sin(x).cos(x) is

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let be and CF be the two medians of a triangle ABC and G be the intersection also let EF cut AG at O. then AO:OG is a+b=10 ; ab=21..........whats the value of a^3 + b^3