Triangle Center

A triangle center is a special point inside a triangle that has a meaningful geometric property, often related to symmetry or balance. Examples include the centroid (intersection of medians, balancing point), incenter (center of the inscribed circle), circumcenter (center of the circumscribed circle), and orthocenter (intersection of altitudes). These points are important in geometry because they reveal intrinsic properties of triangles and often serve as key reference points for construction, analysis, and solving geometric problems. Essentially, they are notable "focal points" that help understand the triangle’s shape and structure.