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Buktikan bahwa ( a 2 − b 2 ) , 2 ab , ( a 2 + b 2 ) membentuk tripel Pythagoras.

Buktikan bahwa  membentuk tripel Pythagoras.

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Jawaban terverifikasi

Jawaban

terbukti bahwa membentuk Tripel Pythagoras.

terbukti bahwa begin mathsize 14px style open parentheses a squared minus b squared close parentheses comma space 2 a b comma space open parentheses a squared plus b squared close parentheses end style membentuk Tripel Pythagoras.

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Dengan menggunakan rumus Pythagoras, diperoleh Jadi, terbukti bahwa membentuk Tripel Pythagoras.

begin mathsize 14px style Misalkan colon straight A equals left parenthesis straight a squared minus straight b squared right parenthesis straight B equals 2 ab straight C equals left parenthesis straight a squared plus straight b squared right parenthesis end style 

Dengan menggunakan rumus Pythagoras, diperoleh

begin mathsize 14px style straight B squared equals straight C squared minus straight A squared open parentheses 2 ab close parentheses squared equals open parentheses straight a squared plus straight b squared close parentheses squared minus open parentheses straight a squared minus straight b squared close parentheses squared 4 straight a squared straight b squared equals straight a to the power of 4 plus 2 straight a squared straight b squared plus straight b to the power of 4 minus left parenthesis straight a to the power of 4 minus 2 straight a squared straight b squared plus straight b to the power of 4 right parenthesis 4 straight a squared straight b squared equals straight a to the power of 4 plus 2 straight a squared straight b squared plus straight b to the power of 4 minus straight a to the power of 4 plus 2 straight a squared straight b squared minus straight b to the power of 4 4 straight a squared straight b squared equals 4 straight a squared straight b squared space end style  

Jadi, terbukti bahwa begin mathsize 14px style open parentheses a squared minus b squared close parentheses comma space 2 a b comma space open parentheses a squared plus b squared close parentheses end style membentuk Tripel Pythagoras.

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