QQuestion
The circumcentre of a triangle is a point which is:
(a) at an equal distance from the three sides of the triangle.
(b) at an equal distance from the three vertices of the triangle.
(c) the point of intersection of the medians.
(d) the point of intersection of the altitudes.
✓Answer
(b) At an equal distance from the three vertices of the triangle.
Explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of the sides of a triangle.
Every point on the perpendicular bisector of a side is equidistant from the endpoints of that side.
Therefore, the circumcentre is at an equal distance from all three vertices of the triangle.
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