Triangle Centers and Geometric Loci Explained
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Triangle Centers
Incenter
The angle bisectors of a triangle are the lines that divide the interior angles into two equal parts. The three bisectors intersect at a point equidistant from the three sides, called the incenter, which serves as the center of the inscribed circle.
Circumcenter
The perpendicular bisectors are lines perpendicular to the sides of a triangle at their midpoints. These three lines intersect at a point called the circumcenter, which is equidistant from the three vertices and acts as the center of the circumcircle. The circumcenter can be located inside or outside the triangle.
Centroid
The medians are segments joining a vertex with the midpoint of the opposite side. They intersect at a point called the centroid, which represents... Continue reading "Triangle Centers and Geometric Loci Explained" »


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