geometry calculator

Triangle Area From Coordinates Calculator

Keep this page handy for situations where a hand calculation would be slow or easy to miscopy around triangle area from coordinates.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Estimate Results

Enter values to see the result.

Formula

area = |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)| / 2

The shoelace pattern converts vertex coordinates into area without needing side lengths first.

Example

X1 0, Y1 0, X2 4, Y2 0, X3 1, Y3 3 gives Area 6. 00.

Check

Using the right formula with the wrong measurement label or axis.
Switching between degrees and raw ratios without noticing the change.

Next Step

Next Calc

Area of a Triangle Calculator

Calculate the area of any triangle using base and height.

Next Calc

Equilateral Triangle Area Calculator

Keep equilateral triangle area calculator math tidy when a plan, worksheet, or note set needs one quick calculation.

Next Calc

Heron Area Calculator

Keep heron area calculator math tidy when a plan, worksheet, or note set needs one quick calculation.