CALCULATOR
Triangle Perimeter from Three Cartesian Vertices Calculator
Triangle Perimeter from Three Cartesian Vertices. Example: X1: 0 m, Y1: 0 m, X2: 3 m, Y2: 0 m, X3: 0 m, Y3: 4 m gives 12 m. 2D Cartesian coordinates in meters; degenerate collinear/repeated vertices accepted as boundary of a degenerate triangle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
2D Cartesian coordinates in meters; degenerate collinear/repeated vertices accepted as boundary of a degenerate triangle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Sum Euclidean segment lengths between each pair of consecutive vertices.
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.
How the calculation works
P=distance12+distance23+distance31
Worked example
With x1 0 m, y1 0 m, x2 3 m, y2 0 m, x3 0 m, y3 4 m, triangle perimeter from three cartesian vertices is 12 m.
Assumptions and limits
2D Cartesian coordinates in meters; degenerate collinear/repeated vertices accepted as boundary of a degenerate triangle. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Sum Euclidean segment lengths between each pair of consecutive vertices.