Geometry

Question Analysis

The main focus is to find the centroid of . We'll use the formula for the centroid of a polygon (which applies to triangles as well), involving averaging the  - coordinates and  - coordinates of the triangle's vertices.

Key Concept Explanation

For a polygon with  vertices having coordinates , , , , the coordinates of the centroid  are calculated as  and . For a triangle (), it simplifies to averaging the coordinates of its three vertices.

Step - by - Step Solution

1. Identify the coordinates of the vertices:

Assume