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Find the coordinates of the circumcentreof a triangle whose vertices are (8,6), (8, -2), (2, -2). Also find its circum-radius.

Find the coordinates of the circumcentreof a triangle whose vertices are (8,6), (8, -2), (2, -2). Also find its circum-radius.

Grade:12th Pass

1 Answers

SAGAR SINGH - IIT DELHI
879 Points
11 years ago

Dear student,

Use the concept:

The perpendicular bisectors of the sides of a triangle pass through the same point.

theorem on circumcentre of triangle

In the above theorem, we have proved that OA = OB = OC. That is, if a circle with `O' as centre and radius = OA (or OB or OC) is drawn, this circle will pass through the vertices. A, B, C of the triangle. This circle is called the circumcircle, the centre of circumcircle is called the circumcentre and the radius of circum circle as called the circum radius.

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