The line `x+y=a` meets the axes of x and y at A and B respectively. A triangle AMN is inscribed in the triangle `OAB`, O being the origin, with right angle at N, M and N lie respectively on OB and AB. If the area of the triangle AMN is `3/8` of the area of the triangle `OAB`, then `(AN)/(BM)` is equal to:

Answer

3