Math
Square pyramid
Find volume, slant height and surface area of a right square pyramid.
Calculators / Math / Triangle centroid
Triangle centroid calculator
Locate the centroid of a triangle from the coordinates of its three vertices.
On this page
Centroid x2
Centroid y2
Calculator controls
How to calculate
Locate the centroid of a triangle from the coordinates of its three vertices.
Centroid x = (x1+x2+x3)/3; Centroid y = (y1+y2+y3)/3
Worked example
Vertex 1 x: 0; Vertex 1 y: 0; Vertex 2 x: 6; Vertex 2 y: 0; Vertex 3 x: 0; Vertex 3 y: 6.
Centroid x: 2 ; Centroid y: 2 .
Assumptions and limits
Coordinates use one common Cartesian coordinate system. This is the centroid of a uniform triangular lamina; it is not a general centre of mass.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Locate the centroid of a triangle from the coordinates of its three vertices.
When this tool is useful
Centroid x = (x1+x2+x3)/3; Centroid y = (y1+y2+y3)/3
Understanding your inputs
| Input | What to enter |
|---|---|
| Vertex 1 x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vertex 1 y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vertex 2 x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vertex 2 y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vertex 3 x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Vertex 3 y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Coordinates use one common Cartesian coordinate system. This is the centroid of a uniform triangular lamina; it is not a general centre of mass.
How is the result calculated?
Centroid x = (x1+x2+x3)/3; Centroid y = (y1+y2+y3)/3