CALCULATOR
Area of Triangle with Coordinates Calculator
area of triangle with coordinates. Example: X1: 2 units, Y1: 2 units, X2: 2 units, Y2: 2 units, X3: 2 units, Y3: 2 units gives 0 square units. Three vertices in common 2D Cartesian units. Collinear or repeated vertices return zero; no geographic/road distance. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist reco
Three vertices in common 2D Cartesian units. Collinear or repeated vertices return zero; no geographic/road distance. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Absolute 2D determinant gives parallelogram area; triangle is half.
Accepted inputs: X1: -1,000,000 to 1,000,000 units; Y1: -1,000,000 to 1,000,000 units; X2: -1,000,000 to 1,000,000 units; Y2: -1,000,000 to 1,000,000 units; X3: -1,000,000 to 1,000,000 units; Y3: -1,000,000 to 1,000,000 units.
How the calculation works
area = |(x2−x1)(y3−y1)−(x3−x1)(y2−y1)|/2
Worked example
With x1 2 units, y1 2 units, x2 2 units, y2 2 units, x3 2 units, y3 2 units, area of triangle with coordinates is 0 square units.
Assumptions and limits
Three vertices in common 2D Cartesian units. Collinear or repeated vertices return zero; no geographic/road distance. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Absolute 2D determinant gives parallelogram area; triangle is half.