Question

Can a perpendicular bisector be an altitude 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. bisects the side.
An altitude is defined as a perpendicular line segment from a vertex of a triangle to the side opposite to that vertex.

So, if the perpendicular bisector passes through the vertex opposite to that side, it will be the altitude.


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