Can the median height of the bisector of a triangle drawn from one vertex coincide?

The median, height and bisector of a triangle drawn from one vertex can coincide in two cases:
– if this triangle is isosceles. In this case, only the median, height and bisector, which are drawn from the apex of the triangle opposite to its base, will coincide. The median, height and bisector, which are drawn to the sides of an isosceles triangle, will not coincide;
– if this triangle is equilateral (regular). In this case, the medians, heights and bisectors drawn from each vertex will coincide.