Pythagorean Theorem proof by translation

Total areas of the two squares are equal. The red area on the left equals c², while the red areas on the right sum to a² + b². This means that c² = a² + b², since the green and blue triangles are of equal size. Sliders a and b vary the size of the right triangle. Slider n will show the translation of triangles from the left square to the right.

 

Bill Lombard

 
Resource Type
Activity
Tags
pythagorean-theorem 
Target Group (Age)
12 – 19+
Language
English (United States)
 
 
GeoGebra version
4.4
Views
4165
Contact author of resource
 
 
© 2024 International GeoGebra Institute