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 [color=#0000ff][b]blue[/b][/color], [color=#6aa84f][b]green[/b][/color], and [color=#ff0000][b]red[/b][/color] line segments?
[color=#0000ff][b]Each line segment is called a [/b][/color][b][color=#ff0000]median.[/color][color=#0000ff] A triangle's three[/color][color=#ff0000] medians [/color][color=#0000ff]are always concurrent.[/color][/b]
What is the name of the point of concurrency of the medians of a triangle?
Your Hypothesis
[color=#202124]The [/color][b][color=#ff0000]centroid[/color][/b][color=#202124] is located __________ of the [/color][b]distance[/b][color=#202124] from the [/color][b][color=#9900ff]vertex[/color][/b][color=#202124] along the segment that connects the [/color][b][color=#9900ff]vertex[/color][/b][color=#202124] to the[/color][color=#ff7700][b] midpoint[/b][/color][color=#202124] of the opposite side.[/color]
Describe the location of the centroid for acute, obtuse and right triangles.
Close
– Edith Damron, David Emanuel

Information: Concurrency of Medians of a Triangle