A Visual Proof of the Pythagorean Theorem
Move point E to determine the shape of the triangles, and then move slider α to the extreme right.
Guillermo Bautista , September 11, 2012, Created with GeoGebra
Guillermo Bautista , September 11, 2012, Created with GeoGebra
Questions:
- What is the relationship among the areas of squares with side lengths a, b, and c?
- What equation describes the relationship among the areas of the three squares?
- Prove that the green quadrilateral inside the large when α is 90° is a square
Snapshot