Why is c2 = a2 + b2? Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem. Can you explain the proof?
This proof is attributed to Bhaskara (12th century) in the book Proofs Without Words: Exercises In Visual Thinking, by Roger B. Nelsen, Mathematical Association of America,1993.
Adjust the size of the triangle by using the sliders at the top of the screen.
Press the Arrange Four Copies button. This will show you an outline of how four copies of the triangle and a small square can be arranged to make a larger square. Press the Color the Copies button to color-code the pieces.
Press the Rearrange the Shapes button to show how these five pieces can be arranged in a different configuration. Press the Behold! button to color-code the pieces.
If you need help answering the last question, press the Why It Works button. The thick blue segment divides the arrangement into two squares. Do you see that the area of one of the squares is a2 and the area of the other is b2?
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