Mathematics
Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O.
(i) What do you call the point O ?
(ii) What is the relation between the distances OA, OB and OC ?
(iii) Does the perpendicular bisector of BC pass through O ?
Constructions
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Answer
(i) O is called the circumcenter of the triangle.
(ii) Since, OA, OB and OC are radius of circumcircle.
Hence, OA = OB = OC.
(iii) From figure,
Yes, the perpendicular bisector of BC pass through O.
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