Exploration of Medians & Centroid of a Triangle

[color=#000000]Recall that a [/color][b][color=#980000]median of a triangle[/color] [/b][color=#000000]is a[/color][color=#980000] [b]segment that connects any vertex to the midpoint of the side opposite that vertex. [/b] [/color][color=#000000]Since a triangle has 3 vertices, it has 3 medians. [/color][br][br][color=#000000]This applet will illustrate 2 very special properties about a triangle's 3 medians. Interact with it for a few minutes, then answer the questions that follow. [/color][br][br][color=#000000]Note: The[/color][color=#ff7700] [b]BIG ORANGE POINT[/b] [/color][color=#000000]that will appear is known as the[/color][color=#ff7700] [b]CENTROID[/b] [/color][color=#000000]of the triangle.[/color][br][br][i][color=#9900ff]Have fun with this![/color][/i] [color=#000000]Be sure to change the locations of the triangle's BIG WHITE VERTICES each time before re-sliding the slider. [/color]

Information: Exploration of Medians & Centroid of a Triangle