Find value of X in the isosceles triangle shown below

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?