Question

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.

1. What do you call the point O?
2. What is the relation between the distances OA, OB and OC?
3. Does the perpendicular bisector of BC pass through O?

Answer 1

1. O is called the circumcentre of circumcircle of ΔABC.
2. OA, OB and OC are the radii of the circumcircle.
3. Yes, the perpendicular bisector of BC will pass through O.