## Wednesday, August 31, 2011

### Pythagoras Theorem # 2

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

1. Excellent demonstration Sanjay!

2. Isn't it AC = 2?

3. Nice demonstration, but can I think we should just call it a demonstration, rather than proof. What do you think Sanjay? :-)

4. You are correct Guillermo , we can say the demonstration , how to prove Pythagoras Theorem.

5. I would argue very strongly that what you have shown there is a demonstration - in fact it's not even really a demonstration because 2.83^2 is 8.0089 which is more than 8. If you wish to 'prove' Pythagoras' Theorem, you need to use an algebraic or geometric method that doesn't use specific numerical values, in order to leave not a shadow of doubt that this will always work.

There are a variety of excellent geometrical proofs which are straightforward and will leave the student convinced beyond a shadow of a doubt, I have done these proofs with G8 students with no problems at all.

6. Sanjay, David's comment above is correct. Sir, your demo is no proof. Please let me know if I am missing something. Thanks.

7. Thank you all for comments. Removed word "Proof". Its a good learning.

8. I have started to visit your applets now. Wherever is possible try to come up with deductive reasoning, just giving a simple verification is under utilization of GeoGebra :( carry on!