Creation of this applet was inspired by a [url=https://twitter.com/WWMGT/status/808824208428007429]tweet[/url] from [url=https://twitter.com/mscroggs]Matthew Scroggs[/url] that was retweeted by [url=https://twitter.com/WWMGT]Martin Gardner tweet[/url]. [br][br]Interact with the applet for a few minutes.[br]As you do, feel free to adjust the [color=#1e84cc][b]blue slider[/b][/color] and the locations of the [b]white points[/b]. [br][br]Answer the questions that follow.
How do the dynamics illustrated above ([i][color=#9900ff][b]informally) imply[/b][/color] [/i]that the areas of the two smaller right triangles add to the area of the largest right triangle?
How can you formally prove what this applet informally illustrates?