Wednesday, October 3, 2012

Pythagorean Theorem Proof 2

Given: Triangle with sides a and b and hypotenuse c and three squares containing a, b and c. This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to
Guillermo Bautista, Created with GeoGebra


  1. What are the areas of the green square and the red square? 
  2. Move slider p to the extreme right. What types of quadrilaterals were formed from the two squares? 
  3. What can you say about the areas of squares in Question 1 and the areas  of quadrilaterals in Question 2?
  4. Move slider q to the extreme right. What type of quadrilaterals were formed? 
  5. What can you say about the quadrilaterals formed in Question 1 and the quadrilaterals in Question 4?
  6. Move slider r to the right. What do you observe?
  7. What can you say about the areas of the red square,  green square, and the area of square containing c?
  8. In terms of a, b, and c, what equation can be formed relating the areas of the three squares?


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