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## #1 2012-11-08 13:20:57

Bosworth.Joshua
Member
Registered: 2012-11-08
Posts: 1

### Teach Pythagorean Theorem in 10 seconds

Everyone knows A²+B²=C², but this is often taught without any explanation as to why.

I'm not an established user yet (no link posting) so

[Thanks to the admin for posting the animation!]

Last edited by Bosworth.Joshua (2012-11-08 13:55:42)

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## #2 2012-11-08 13:41:55

bobbym
From: Bumpkinland
Registered: 2009-04-12
Posts: 106,408

### Re: Teach Pythagorean Theorem in 10 seconds

I have posted the animation here.

That is the best I can do to just keep the math and leave out the strong comments.

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

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## #3 2012-11-08 13:57:07

Calligar
Member
Registered: 2011-09-24
Posts: 272

### Re: Teach Pythagorean Theorem in 10 seconds

Very interesting...

There are always other variables.  -[unknown]
But Nature flies from the infinite, for the infinite is unending or imperfect, and Nature ever seeks an end.  -Aristotle
Everything makes sense, one only needs to figure out how.  -[unknown]

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## #4 2012-11-22 09:23:52

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,681

### Re: Teach Pythagorean Theorem in 10 seconds

Intresting stuff

The integral of hope is reality.

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## #5 2012-11-22 20:46:48

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,706

### Re: Teach Pythagorean Theorem in 10 seconds

hi Bosworth.Joshua

Neat animation, thanks!

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #6 2013-01-06 13:48:27

21122012
Member
Registered: 2012-11-16
Posts: 278

### Re: Teach Pythagorean Theorem in 10 seconds

"The conditions imposed on functions, become a source of difficulties which will manage to be avoided only by means of new researches about the principles of integral calculus"

Thomas Ioannes Stiltes. ...                                                 I made it!

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## #7 2013-01-08 03:14:44

Fistfiz
Member
Registered: 2012-07-20
Posts: 33

### Re: Teach Pythagorean Theorem in 10 seconds

Hi there! These are very simple and smart proofs. I suggest you also to give a look to:

http://farside.ph.utexas.edu/euclid/Elements.pdf
Book1, Prop.48, Prop.49

the second one (if i remember good) is the Inverse theorem (i.e. if a triangle is such that c²=a²+b², then it's rectangle).

30+2=28 (Mom's identity)

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## #8 2013-01-08 06:59:29

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,706

### Re: Teach Pythagorean Theorem in 10 seconds

hi Fistfiz

Thanks for that link.  That brings back memories.  I had to learn that proof many, many years ago.

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #9 2013-01-08 08:19:43

Fistfiz
Member
Registered: 2012-07-20
Posts: 33

### Re: Teach Pythagorean Theorem in 10 seconds

You're welcome.

30+2=28 (Mom's identity)

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