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Concurrency of Medians of a Triangle

Manipulate the vertices of the triangle to investigate the properties of the Centroid.

If D, E, and F are midpoints of the sides of the triangle, how would you describe the endpoints of the blue, green, and red line segments?

Each line segment is called a median. A triangle's three medians are always concurrent.

What is the name of the point of concurrency of the medians of a triangle?

Your Hypothesis

The centroid is located __________ of the distance from the vertex along the segment that connects the vertex to the midpoint of the opposite side.

Describe the location of the centroid for acute, obtuse and right triangles.