Challenge: The Theorem of Thales
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Before you begin this challenge, explore the “Theorem of Thales” below.
Task: What did the Greek philosopher and mathematician Thales find out about a triangle inscribed in a semicircle, about 2600 years ago?
Hint: Explore the dynamic figure below and write down your discoveries.
Tasks
- Construct an interactive visualization of the Theorem of Thales that can be used to rediscover this theorem.
- Try to come up with a graphical proof for this theorem. Hint: Create midpoint O of segment AB and display the radius OC as a segment.