COORDINATES / THREE-POINT TRIANGLE

Coordinate Geometry Calculator

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

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

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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

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

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.

Coordinate Geometry Calculator

Calculation path

What you provide

What you receive

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

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