The student will determine the orthocenter, incenter, circumcenter, and centroid of a triangle by constructing the appropriate lines and line segments.
The student will compare and contrast the location of the centers of a triangle for various types of triangles.
Real world application
The orthocenter, incenter, circumcenter, and centroid make up the four main centers of a triangle. Even though these centers were discovered by the ancient Greeks, they still have practical applications in geometry today.
For example, the centroid can be used to determine the center of mass of a two-dimensional object in physics.