Let ABC be a right triangle with B = 90. Let E and F be respectively the mid-points of AB and AC. Suppose the incentre I of triangle ABC lieson the...

Let ABC be a right triangle with ∠B = 90◦. Let E and F be respectively the mid-points of AB and AC. Suppose the incentre I of triangle ABC lieson the circumcircle of triangle AEF. Find the ratio BC/AB.6. Find all real numbers a such that 3