The centre of a triangle is known as the centroid.
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Centre
The common intersection of the angle bisectors of a triangle is called the incenter. It is the center of the inscribed circle of the triangle, and is equidistant from the three sides of the triangle.
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
The Centroid
The center of gravity of a triangle is its centroid. The centroid of a triangle is the intersection of the three medians.