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 www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Guillermo Bautista, Created with GeoGebra

Questions 

  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?
Snapshot

2 comments:

  1. Although Halloween commenced as any occasion for those who employed the occult, it offers since converted into something very different. Halloween has really become about the kids. It really is about the fun of dressing and pretending to be another person for a evening. It really is about children gorging themselves on a significant amount of candy. Unfortunately, gleam sinister aspect to the vacation that is due to children believing they are entitled to acquire chocolate and vandalizing property when they don't really get what they need.
    Happy Halloween 2017 quotes
    Halloween Costumes Ideas
    Halloween Pumpkin Carving Patterns

    ReplyDelete
  2. Halloween is one of the most famous and biggest event in the world. On this Halloween lets share love and keep the spirit alive in other peoples heart. Here we are sharing some Halloween related stuff.

    Funny Halloween Memes
    Halloween Puns
    Halloween colouring pages for adults

    ReplyDelete