Geometry

Triangle Centroid

Centroid of a triangle from its vertices.

Formula

Formula
G = (Σxi3, Σyi3)

Variables

SymbolDefinitionType & rangeUnitsRole
(xᵢ,yᵢ) three vertices computed result result

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
Givenx₁ = 0, y₁ = 0, x₂ = 6, y₂ = 0, x₃ = 0, y₃ = 6
Result(2, 2)
Example 2
Givenx₁ = 1, y₁ = 2, x₂ = 3, y₂ = 4, x₃ = 5, y₃ = 0
Result(3, 2)