Math Is Fun Forum

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)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

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.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Calligar

Member

Registered: 2011-09-24

Posts: 272

Re: Teach Pythagorean Theorem in 10 seconds

Very interesting...

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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]

Mathegocart

Member

Registered: 2012-04-29

Posts: 2,226

Re: Teach Pythagorean Theorem in 10 seconds

Intresting stuff

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The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

Re: Teach Pythagorean Theorem in 10 seconds

hi Bosworth.Joshua

Neat animation, thanks! 

Bob

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

21122012

Member

Registered: 2012-11-16

Posts: 278

Re: Teach Pythagorean Theorem in 10 seconds

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"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!

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).

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30+2=28 (Mom's identity)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,626

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

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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
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

Fistfiz

Member

Registered: 2012-07-20

Posts: 33

Re: Teach Pythagorean Theorem in 10 seconds

You're welcome.

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30+2=28 (Mom's identity)