Move point

Guillermo Bautista , September 11, 2012, Created with GeoGebra

*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

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**