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Question
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.
- What do you call the point O?
- What is the relation between the distances OA, OB and OC?
- Does the perpendicular bisector of BC pass through O?
Solution
- O is called the circumcentre of circumcircle of ΔABC.
- OA, OB and OC are the radii of the circumcircle.
- Yes, the perpendicular bisector of BC will pass through O.
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