True or False: Given any triangle, the three perpendicular bisectors always have to meet inside the triangle.

Answer 1

There are three types of triangles when being categorized by angles: acute, right, and obtuse. Draw one or two of each and draw in their perpendicular bisectors and look for the point where those bisectors meet.

A perpendicular bisector must be perpendicular to the side and bisect it. That means it forms a right angle with the side and goes through the midpoint of that side. Those are the only two requirements.

The point that all three perpendicular bisectors meet at is called the circumcenter.

Answer 2

False. If you draw the perpendicular bisectors for an obtuse triangle you will see that they meet outside the triangle and closest to its longest side.