What 2 theorems are illustrated in the applet below? [br](Feel free to move the triangle's white vertices anywhere you'd like!)
[color=#000000][b]Theorems:[/b][/color][br][br]The 3 medians of a triangle are concurrent (intersect at exactly [color=#ff7700][b]one point.[/b][/color]) This [color=#ff7700][b]point of concurrency [/b][/color]is called the [color=#ff7700][b]centroid[/b][/color] of the triangle. [br][br]In a triangle, the ratio of the distance from any vertex to the triangle's [color=#ff7700][b]centroid[/b][/color] to the length of the entire median (having that vertex as an endpoint) is always 2/3.