Triangle Centers Calculator

Enter three non-collinear coordinate points to calculate the four classical triangle centers, area, perimeter, inradius, circumradius, and an SVG position sketch.

Vertex A (x, y)

Vertex B (x, y)

Vertex C (x, y)

Centroid = —Four classical triangle centers from coordinate vertices.

—Circumcenter

—Incenter

—Orthocenter

—Area

—Inradius

—Circumradius

—Perimeter

—Euler line G↔O↔H

Coordinate results use the coordinate units you enter. Nearly collinear points are numerically unstable and are rejected instead of returning misleading huge centers.

Use consistent measurements and valid geometric assumptions

Keep linear inputs in a consistent unit, verify that side lengths or coordinate points can form the stated shape, and treat sketches as explanatory unless explicitly marked to scale. Coordinate formulas can become unstable for nearly degenerate shapes, so invalid or nearly collinear inputs are rejected rather than silently returning misleading values.