Geometry
Triangle Area (coordinates)
Area of a triangle from three vertices (shoelace).
Formula
Formula
A = ½x1(y2−y3)+x2(y3−y1)+x3(y1−y2)
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| (xᵢ,yᵢ) | three vertices | computed result | — | result |
Try it yourself
Interactive calculator
Worked examples
Example 1
Givenx₁ = 0, y₁ = 0, x₂ = 4, y₂ = 0, x₃ = 0, y₃ = 3
Result6
Example 2
Givenx₁ = 1, y₁ = 1, x₂ = 5, y₂ = 1, x₃ = 3, y₃ = 4
Result6