Enter the three vertices (x, y) and click Calculate Centroid.

The centroid (also called the geometric center or center of mass) of a triangle is the point where the three medians intersect. A median is a line segment joining a vertex to the midpoint of the opposite side. The centroid divides each median in the ratio 2:1, with the longer segment between the vertex and the centroid. The coordinates of the centroid are the arithmetic mean of the coordinates of the three vertices: G = ((x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3). This point represents the center of mass of a uniform triangular lamina and is the balance point of the triangle. The centroid is always located inside the triangle, regardless of the triangle's shape. This calculator is useful in geometry, structural engineering, physics, and computer graphics for determining the balance point or center of mass of triangular shapes.

1. Enter the x and y coordinates of Vertex A.
2. Enter the x and y coordinates of Vertex B.
3. Enter the x and y coordinates of Vertex C.
4. Click Calculate Centroid to compute the centroid.
5. The result shows the centroid coordinates and additional triangle properties.
6. Click Reset to restore default example values.