The circumcentre of a triangle is the centre of the circle that passes through all three vertices of the triangle.
Note that the circumcentre of a triangle may lie inside, outside, or on the triangle itself, depending on the shape of the triangle. Also, if the triangle is obtuse, the circumcentre will be outside the triangle, while if the triangle is acute, the circumcentre will be inside the triangle. If the triangle is right-angled, the circumcentre will be at the midpoint of the hypotenuse.
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