Math

Centroid Calculator

Find the centroid of a triangle from its three vertices.

x₁

y₁

x₂

y₂

x₃

y₃

Calculated Output

Centroid x 2

Centroid y 3

Formula: centroid = average of the three vertices

Step-by-Step Breakdown

1. Values used:

2. x₁ = 0

3. y₁ = 0

4. x₂ = 6

5. y₂ = 0

6. x₃ = 0

7. y₃ = 9

9. Centroid x = 2

10. Centroid y = 3

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The math behind it

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

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

Where does the centroid sit on a median?

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