Where can the perpindicular bisectors of an obtuse triange intersect?

Question

It is asking where the perpendicular line can bisect in a triangle.. The given options are inside the triangle, on the triangle, or outside of the triangle.

Answer 1

From Wikipedia:

"The point at which the perpendicular bisectors of a triangle meet, or the circumcenter, is equidistant from the vertices of the triangle."  The three vertices of the triangle are on a circle with its center at the circumcenter.

 

"A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint."

 

"The circumcenter of an obtuse triangle is outside the triangle.  

      (note: on a side if a right triangle; inside triangle if an acute triangle)