CALCULATOR
Triangle Centroid Coordinate from Three Cartesian Vertices Calculator
Triangle Centroid Coordinate from Three Cartesian Vertices. Coordinate to return: X coordinate, Y coordinate only. Example: X1: 0 m, Y1: 0 m, X2: 3 m, Y2: 0 m, X3: 0 m, Y3: 4 m, Coordinate to return: 1 selection gives 1 m. Returns selected x or y coordinate; switch axis for both. 2D Cartesian meters; degenerate triangle centroid remains arithmetic center. Only this original stated job is proposed,
Returns selected x or y coordinate; switch axis for both. 2D Cartesian meters; degenerate triangle centroid remains arithmetic center. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Intersection of medians is one-third sum of vertex position vectors.
Accepted inputs: X1: -1,000 to 1,000 m; Y1: -1,000 to 1,000 m; X2: -1,000 to 1,000 m; Y2: -1,000 to 1,000 m; X3: -1,000 to 1,000 m; Y3: -1,000 to 1,000 m; Coordinate to return: choose X coordinate (1), Y coordinate (2).
How the calculation works
selected coordinate=(coordinate1+coordinate2+coordinate3)/3
Worked example
With x1 0 m, y1 0 m, x2 3 m, y2 0 m, x3 0 m, y3 4 m, coordinate to return X coordinate, triangle centroid coordinate from three cartesian vertices is 1 m.
Assumptions and limits
Returns selected x or y coordinate; switch axis for both. 2D Cartesian meters; degenerate triangle centroid remains arithmetic center. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Intersection of medians is one-third sum of vertex position vectors.