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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.

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, Concise Mathematics Solutions ICSE Class 10.

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