Equilateral Action (2)!

[color=#000000]Here's another informal presentation of an interesting theorem about equilateral triangles. [br] [br][/color][color=#980000]Be sure to move the [b]BROWN POINT[/b] (soon to appear) anywhere you'd like! [/color][color=#000000][br][br][br][/color][color=#0000ff][i]1) Can you put this theorem into words? Try it! [/i][br][/color][i][color=#9900ff]2) How could you formally prove what you see dynamically illustrated in the applet below? [/color][/i]

Information: Equilateral Action (2)!