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Question
A, B and C are three points on a circle, then the perpendicular bisector of AB, BC and CA are ____________.
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Solution
Given:
A, B and C are three points on a circle
Let ABC be a triangle.
We know, a circumcentre is the point of intersection of the perpendicular bisectors of the triangle.
Thus, the perpendicular bisector of AB, BC and CA intersect at a point known as circumcentre.
Hence, the perpendicular bisector of AB, BC and CA are concurrent.
A, B and C are three points on a circle
Let ABC be a triangle.
We know, a circumcentre is the point of intersection of the perpendicular bisectors of the triangle.
Thus, the perpendicular bisector of AB, BC and CA intersect at a point known as circumcentre.
Hence, the perpendicular bisector of AB, BC and CA are concurrent.
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