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 Orthocenter:  The point of intersection of the altitudes of a triangle.

Inscribed in a Triangle: Construct a circle inscribed in a triangle so that it will always remain inscribed in the triangle.

Balancing the Centroid: Describe how a triangle's median is divided.

Medians of a Triangle: Determine the relationship between the coordinates of the vertices of a triangle and its centroid.

Balancing the Triangular Totter: Locate the center of mass of a triangle.