G.1.2.3- The Pythagorean Theorem

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The Pythagoreans wrote many geometric proofs, but because they attempted to keep their findings so secretive is is hard to determined which brother authored which proof. Each member of the Brotherhood made a vow of secrecy which in turn prevented any of their important mathematical findings from being made known to the public...
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In his method, Hui cut up the squares on the legs of the right triangle and rearranging the pieces in what is known as "Tangram style". The pieces of the smaller squares fit together to make up the square largest square on the hypotenuse. Unfortunately, Liu Hui's original drawing of this concept did not survive, however, mathematicians have been able to recreate this "Tangram" proof of the Pythagorean theorem...
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