[size=100]Before you begin this challenge, explore the “Theorem of Thales” below.[br][br][b]Task[/b]: What did the Greek philosopher and mathematician [i]Thales[/i] find out about a triangle inscribed in a semicircle, about 2600 years ago?[br][/size][u]Hint[/u]: Explore the dynamic figure below and write down your discoveries.

[list=1][*][size=100]Construct an interactive visualization of the Theorem of Thales that can be used to rediscover this theorem. [/size][/*][*][size=100]Try to come up with a graphical proof for this theorem.[br][u]Hint[/u]: Create midpoint [i]O[/i] of segment [i]AB[/i] and display the radius [i]OC[/i] as a segment.[/size][/*][/list]