There was something I never quite understood about medians and perpendicular bisectors in a triangle, or to be more specific, an isosceles triangle; Aren't they the same in this kind of triangle? If not all are the same, than, at least the median to the base of the triangle is also a perpendicular bisector, due to the qualities of median to the base in an isosceles triangle?
Hope this helps.
AD serves as the median (from A to BC) as well as the perpendicular bisector (of BC).
This is not necessarily true for the other two sides unless the triangle is equilateral.