a. An isosceles triangle has a base of length 4 and two sides of length 212. Let P be a point on the perpendicular bisector of the base. Find the location P that minimizes the sum of the distances between P and the three vertices. 

b. Assume in part (a) that the height of the isosceles triangle is h > 0 and its base has length 4. Show that the location of P that gives a minimum solution is independent of h for h ≥ 2/√3.