Geometric Centers of a Triangle

“Draw a triangle and accurately locate and label its incenter, circumcenter, orthocenter, and centroid. For each point, provide a brief description of its key characteristics and how it is constructed. Given a triangle with vertices A(2, 3), B(4, 7), and C(6, 5), calculate the coordinates of the centroid. Then, draw the triangle and label the incenter, circumcenter, and orthocenter, explaining how each point is determined.”