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Montrer-que-1-c-2-a-2-b-2-2-rayon-r-c-1-2-a-b-2-2-




Question Number 190611 by a.lgnaoui last updated on 07/Apr/23
Montrer que:  1•c^2 =a^2 +b^2   2• rayon     r=(c/(1+(√2)))−((a+b)/(2+(√2)))
$$\mathrm{Montrer}\:\mathrm{que}: \\ $$$$\mathrm{1}\bullet\boldsymbol{\mathrm{c}}^{\mathrm{2}} =\boldsymbol{\mathrm{a}}^{\mathrm{2}} +\boldsymbol{\mathrm{b}}^{\mathrm{2}} \\ $$$$\mathrm{2}\bullet\:\mathrm{rayon}\:\:\:\:\:\boldsymbol{\mathrm{r}}=\frac{\boldsymbol{\mathrm{c}}}{\mathrm{1}+\sqrt{\mathrm{2}}}−\frac{\boldsymbol{\mathrm{a}}+\boldsymbol{\mathrm{b}}}{\mathrm{2}+\sqrt{\mathrm{2}}} \\ $$$$ \\ $$
Commented by a.lgnaoui last updated on 07/Apr/23
Commented by a.lgnaoui last updated on 07/Apr/23
OCDE   Squart     O: centre of circle
$$\mathrm{OCDE}\:\:\:\mathrm{Squart}\:\:\:\:\:\mathrm{O}:\:\mathrm{centre}\:\mathrm{of}\:\mathrm{circle} \\ $$

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