Question

Can a perpendicular bisector be a median of a triangle? Answer in Yes or No.

Answer 1

$\underset{–}{\text{Perpendicular Bisector:}}$
A perpendicular bisector of a triangle is a line perpendicular to the side and passes through the midpoint of the side, i.e. it bisects the side.

A med​​​​​​ian is defined as a line segment from a vertex of a triangle to the midpoint of the side opposite to that vertex.

So, if the median joins the opposite side at ${90}^o$, it will be the perpendicular bisector of that side.

This is a special case for an equilateral triangle.
The medians and perpendicular bisectors are same in equilateral triangle.