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MATH / ANALYTIC GEOMETRY

Triangle Area from Coordinates Calculator

Calculate triangle area from three Cartesian vertices using the determinant form. Inspect the equation, substituted values, result, and interpretation limits in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate triangle area from three Cartesian vertices using the determinant form. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

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

What you provide

What you provide

  • First vertex x, using the same scenario as the other inputs
  • First vertex y, using the same scenario as the other inputs
  • Second vertex x, using the same scenario as the other inputs
  • Second vertex y, using the same scenario as the other inputs
  • Third vertex x, using the same scenario as the other inputs
  • Third vertex y, using the same scenario as the other inputs

What you receive

What you receive

  • Triangle area in square units from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Coordinates and lengths use one consistent Cartesian scale; rounding is applied only to the displayed result.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors