Question

Explain why the location of the centroid relates only to the geometry of the region and not its mass.

Short answer

Centroid of the plane figure is defined as the point of intersection of the medians.

Step-by-step solution

Given information

The location of the centroid relates only to the geometry of the region and not it's mass.

Calculation

For an example, take a triangle $ABC$with vertices $(1,1),(2,0),and(2,3)$and join them. The point of intersection of medians $AD,BE$and $CF$is $G$