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Challenge
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.