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Centroid of Triangle Calculator

Online centroid division calculator. Enter a median's length to split it as vertex-to-centroid : centroid-to-midpoint = 2:1—ideal for triangle geometry.

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The centroid divides a median in ratio 2:1
Length of one median

📖 Tutorial | Median and Centroid

1. Definition
A median joins a vertex to the opposite midpoint; the three meet at the centroid.
2. Formula & Notation
mA median length
2m/3Centroid to vertex
m/3Centroid to midpoint
3. Properties & Laws
  • Ratio 2:1;
  • A median halves the area;
  • Centroid is inside;
  • It is the medians’ intersection.
4. Steps
  1. Enter median m;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: median 12.
Solution: to vertex 8, to midpoint 4.
6. Common Pitfalls
2:1 is vertex-to-centroid : centroid-to-midpoint;
Not a midsegment;
Always inside.

❓ FAQ | Median and Centroid

What is a median?
Vertex to opposite midpoint.
How does centroid divide it?
2:1, vertex side larger.
Median 12 split?
8 and 4.
Does it divide area?
Into two equal areas.
Where is centroid?
Inside, medians’ intersection.
Same as orthocenter?
No, orthocenter is for altitudes.