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Alternative Proof The Pythagorean Theorem

Posted by sourav ghosh on January 2, 2011 at 10:00 AM

The Pythagorean theorem is one of the most famous in all of mathematics.

 

It states:


Theorem: The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the legs.


There are many different proofs of the theorem (even one supplied by President Garfield in 1876!), and we know that the Babylonians knew about the Pythagorean theorem about 1000 years before the time of Pythagoras (born in 572 B.C.). Nonetheless, a rigorous, general proof of the theorem requires the development of deductive geometry, and thus it is thought that Pythagoras probably supplied the first proof. Most math historians credit him with a proof by dissection, which relies on the use of two squares, one inscribed inside the other. The Indian astronomer Bhaskara (1114-1185) developed this proof:



(PROVED)


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2 Comments

Reply sourav ghosh
8:23 AM on December 31, 2014 
Prathiksha says...
Pls make it more clear...

are you having any difficulty understanding the proof? please let me know.
Reply Prathiksha
7:31 AM on December 18, 2014 
Pls make it more clear...

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