Question

the endpoints of a segment and the points on a perpendicular bisector of that segment are the three vertices of a triangle. what kind of triangle is this?

Answer 1

try making a sketch of the situation and the answer will probably reveal itself...

Answer 2

no matter what point I pick on the perpendicular bisector, what kind of triangle do you see?

Answer 3

are you talking the overall triangle or the right triangle?

Answer 4

triangle ABC, where C can be any point on the perpendicular bisector... (except the midpoint of the segment)