The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
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the centroid is the balance point of the triangle
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The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is equidistant from the vertices.
The circumcenter can be inside or outside the triangle.