SSC Government Jobs Exams Numerical Ability Geometry

ABC is a right angled triangle , AD is perpendicular to the hypotenuse BC if AC = 2AB ,
then the value of BD is

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Nisha bought a number of oranges at 2 for a rupee and an equal number at 3 for a rupee.to make a profit of 20% she should sell a dozen for
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