Centroid Calculator

Find the centroid of a triangle from its three vertices.

Centroid x 2
Centroid y 3

Formula: centroid = average of the three vertices

Step-by-step with your numbers:
1. Values used:
2. x₁ = 0
3. y₁ = 0
4. x₂ = 6
5. y₂ = 0
6. x₃ = 0
7. y₃ = 9
8.
9. Centroid x = 2
10. Centroid y = 3
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The centroid is a triangle's balance point, where its three medians intersect.

The math behind it

Simply average the x-coordinates and the y-coordinates of the three vertices.

Worked example

Vertices (0,0), (6,0), (0,9) → centroid (2, 3).

FAQ

Where does the centroid sit on a median?

Two-thirds of the way from each vertex to the midpoint of the opposite side.