Triangle Area from Coordinates Calculator
Result
Triangle Area from Coordinates Calculator Find the area of a triangle from the coordinates of its three vertices using the shoelace formula. Enter the (x, y) points for A, B and C, and the calculator returns the area as ½ × |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁− — free online calculator.
Formula
- Triangle Area from Coordinates Calculator calculates its result from A — x₁, A — y₁, B — x₂, B — y₂, C — x₃, C — y₃. It uses the formula Area = ½ × |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|. Change any input to recalculate the result instantly.
- The main inputs are A — x₁, A — y₁, B — x₂, B — y₂, C — x₃, C — y₃. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Triangle Area from Coordinates
- A — x₁: 0
- A — y₁: 0
- B — x₂: 6
- B — y₂: 0
- C — x₃: 0
- C — y₃: 4
Using A — x₁ = 0, A — y₁ = 0, B — x₂ = 6, B — y₂ = 0, C — x₃ = 0, C — y₃ = 4, the calculated result is 12.
Sample result: Calculating…
Frequently asked questions
What does the Triangle Area from Coordinates calculate?
Triangle Area from Coordinates Calculator Find the area of a triangle from the coordinates of its three vertices using the shoelace formula. Enter the (x, y) points for A, B and C, and the calculator returns the area as ½ × |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁− — free online calculator.
Which values should I enter?
Enter A — x₁, A — y₁, B — x₂, B — y₂, C — x₃, C — y₃ using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: Area = ½ × |x₁(y₂−y₃) + x₂(y₃−y₁) + x₃(y₁−y₂)|.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.