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COORDINATES / THREE-POINT TRIANGLE

Coordinate Geometry Calculator

Calculate area, perimeter, centroid, and orientation determinant for the triangle formed by three Cartesian points.

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  • 03 Use boundary

Conversion input

Known value

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Point 1

Point 2

Point 3

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Calculation path

A determinant gives signed orientation and absolute area; Euclidean side distances form perimeter and averages form centroid.

Calculation path

Area = abs(x1(y2-y3) + x2(y3-y1) + x3(y1-y2)) / 2.

What you provide

What you provide

  • Point 1 x: Horizontal coordinate of the first vertex.
  • Point 1 y: Vertical coordinate of the first vertex.
  • Point 2 x: Horizontal coordinate of the second vertex.
  • Point 2 y: Vertical coordinate of the second vertex.
  • Point 3 x: Horizontal coordinate of the third vertex.
  • Point 3 y: Vertical coordinate of the third vertex.

What you receive

What you receive

  • Coordinate-triangle area
  • Perimeter
  • Centroid and orientation determinant

Use boundary

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

All coordinates must share one planar Cartesian scale; collinear points do not create a triangle.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.

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