Pifagoryň Teoremasy

${\displaystyle a^{2}+b^{2}=c^{2}\!\,}$

${\displaystyle c={\sqrt {a^{2}+b^{2}}}\,}$

${\displaystyle a={\sqrt {c^{2}-b^{2}}}\,}$

${\displaystyle b={\sqrt {c^{2}-a^{2}}}\,}$

${\displaystyle a^{2}+b^{2}=c^{2}\!\,}$ 

${\displaystyle 3^{2}+4^{2}=5^{2}\!\,}$ 

${\displaystyle 5^{2}+12^{2}=13^{2}\!\,}$ 

${\displaystyle 8^{2}+15^{2}=17^{2}\!\,}$ 

${\displaystyle 7^{2}+24^{2}=25^{2}\!\,}$ 

${\displaystyle 9^{2}+40^{2}=41^{2}\!\,}$ 

${\displaystyle 11^{2}+60^{2}=61^{2}\!\,}$ 

${\displaystyle 12^{2}+35^{2}=37^{2}\!\,}$ 

${\displaystyle 13^{2}+84^{2}=85^{2}\!\,}$ 

${\displaystyle 16^{2}+63^{2}=65^{2}\!\,}$ 

${\displaystyle 20^{2}+21^{2}=29^{2}\!\,}$ 

${\displaystyle 28^{2}+45^{2}=53^{2}\!\,}$ 

${\displaystyle 33^{2}+56^{2}=65^{2}\!\,}$ 

${\displaystyle 36^{2}+77^{2}=85^{2}\!\,}$ 

${\displaystyle 39^{2}+80^{2}=89^{2}\!\,}$ 

${\displaystyle 48^{2}+55^{2}=73^{2}\!\,}$ 

${\displaystyle 65^{2}+72^{2}=97^{2}\!\,}$ 

1. Meňzeş gönüburçly üçburçlukdan peýdalanyp subut etmek

 

${\displaystyle {\frac {d}{a}}={\frac {a}{c}}\quad \Rightarrow \quad d={\frac {a^{2}}{c}}\quad (1)}$ 

${\displaystyle {\frac {e}{b}}={\frac {b}{c}}\quad \Rightarrow \quad e={\frac {b^{2}}{c}}\quad (2)}$ 

Suratdan ${\displaystyle c=d+e\,\!}$ . (1) we (2) deňlemeleri ýerine goýuň:

${\displaystyle c={\frac {a^{2}}{c}}+{\frac {b^{2}}{c}}}$ 

Deňlemäň iki tarapynam c bilen köpeldiň:

${\displaystyle c^{2}=a^{2}+b^{2}\,\!.}$ 

• Türkmen Sowet Ensiklopediýasy, Tom 7, sah.92

Daşarky çykgytlar

• [1] Archived 2015-05-31 at the Wayback Machine Matematikany öwredýän kiçijik programmalar
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• История теоремы Пифагора
• О теореме Пифагора и способах её доказательства Archived 2007-12-17 at the Wayback Machine
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