Question

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

Short answer

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

Step-by-step solution

given informaiton

The objective of this problem is to explain the location of the centroid relates only to the geometry of the region and not it's mass.

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

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 $G$