Question

Describe Centroid of a Triangle of Co- ordinate Geometry.

Answer 1

Centroid is the point of intersection of three medians. It is the point of intersection of a median AG : GD is 2 : 1

To find the coordinates of the centroid of a triangle.

Let the coordinates of the vertices of ΔABC, be A ( x₁, y₁), B (x₂, y₂) and C (x₃, y₃)

Let G (x, y) be the centroid of the ΔABC.

By applying the mid−point formula