Power Calculators

△ Centroid of Three Points Calculator

Find the centroid coordinates of a triangle from its three vertex coordinates.

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Also available in our Android app, with charts and full breakdown tables.

📘 About the Centroid

Find the centroid of a triangle from its Cartesian vertices.

🧮 Formula

Centroid X
(x1+x2+x3)/3
Centroid Y
(y1+y2+y3)/3

Where

  • (x1,y1), (x2,y2), (x3,y3) = triangle vertices
G = ((x1+x2+x3)/3, (y1+y2+y3)/3).

✏️ Worked example

Vertices (0,0), (6,0), (3,6)

You enter
X10
Y10
X26
Y20
X33
Y36
You get
Centroid X3
Centroid Y2

The centroid is (3, 2).

Try this example →

🧭 How to use this calculator

What you enter

  • X1
  • Y1
  • X2
  • Y2
  • X3
  • Y3

What you get

  • Centroid X
  • Centroid Y

💡 Common uses

  • Coordinate geometry homework and revision
  • Analytic geometry calculations
  • Checking graph and line calculations

❓ Frequently asked questions

What is the centroid?

It is the point where the three medians of a triangle intersect.