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Triangle Centroid Calculator

Work out triangle centroid instantly with clear inputs, formula shown and shareable results.

About Triangle Centroid Calculator

The centroid is where the three medians meet and is the triangle's centre of mass. Its coordinates are the plain averages of the three vertex coordinates, and it divides each median in a 2:1 ratio from the vertex.

Formula

Centroid

G = ((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3)

Worked example

With the default values below, Triangle Centroid Calculator returns Centroid of (2, 3). Change any input above and every figure here is recalculated in your browser.

Inputs used

Vertex A (x, y)
0, 0
Vertex B (x, y)
6, 0
Vertex C (x, y)
0, 9

Results

Centroid
(2, 3)
Centroid x
2.0000
Centroid y
3.0000
Triangle area
27.0000

Step by step

  1. 1Values used
  2. 2Centroid
  3. 3Centroid= (2, 3)
  4. 4Centroid x= 2.0000
  5. 5Centroid y= 3.0000
  6. 6Triangle area= 27.0000

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Is the centroid always inside the triangle?

Yes. Unlike the circumcentre or orthocentre, the centroid lies inside every triangle, including obtuse ones.

What is the 2:1 property?

On each median the centroid sits twice as far from the vertex as from the midpoint of the opposite side.

Related Calculators

Triangle Centroid Calculator | Calcrivo