Creation of this resource was inspired by a [url=http://www.gogeometry.com/problem/p212_triangle_120_equilateral_area.htm]problem[/url] posted by [url=https://twitter.com/gogeometry]Antonio Gutierrez[/url] (GoGeometry). [br][br]You can move the LARGE WHITE VERTICES of the white triangle anywhere you'd like at any time. [br][br][b]Note: [br][/b]In this animation, dashed lines (soon-to-appear) are parallel to segments to which they appear to be.[br][br][br][b]Questions: [/b][br][br]How can we put into words what is dynamically illustrated here? [br]How can we formally prove this phenomenon always holds true for this special triangle?