Pythagorean Theorem |
Can you see the proof of this theorem in the animation?
Some hints — Bear in mind that the area of a square is equal to its height times its width, which, because the height and width are identical, is just the "square" of any side. Also, focus on the constancy of the total area of the figure, once all four triangles and the small blue square are in place. Finally, think carefully about what determines the widths of the two square areas separated by the vertical green line at the end of the animation (which repeats after a short pause).
If the hints aren't sufficient, don't despair! The animation on the
next page is designed to remove any, and all, mystery.