Centroid of a triangle Tutorial

Centroid of a triangle Definition

The point through which all the three medians of a triangle pass is called centroid of the triangle and it divides each median in the ratio 21.

Centroid Formula

Centroid

where,

(x₁, y₁) , (x₂, y₂) and (x₃, y₃)be the coordinates of the vertices of the triangle.

Centroid Diagram

Centroid Example

Case 1 Find the centroid of a triangle whose vertices are (-1, -3), (2, 1) and (8, -4). x₁ = -1, y₁ = -3 x₂ = 2, y₂ = 1 and x₃ = 8, y₃ = -4 Substitute in the formula as

The above example will clearly illustrates how to calculate the Centroid of a triangle manually.