Special Segments of a Triangle

A segment that is perpendicular to a side of a triangle at its midpoint.

The point that is equidistant from the sides and is the center of the inscribed circle of a triangle.

A special segment that extends from a vertex perpendicular to the opposite side.

The point of concurrency of the perpendicular bisectors of a triangle.

Intersect to form right angles.

The point of concurrency of the medians of a triangle.

A segment that connects a vertex to the midpoint of the opposite side.

The circumcenter is the center of the circumcircle, which passes through all the vertices of the triangle.

The inradius can be found using the area and the semi-perimeter of the triangle.

The orthocenter is the point where all three altitudes of a triangle intersect.