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Determiner-le-rayon-r-




Question Number 194089 by a.lgnaoui last updated on 27/Jun/23
Determiner le rayon r
$$\mathrm{Determiner}\:\mathrm{le}\:\mathrm{rayon}\:\boldsymbol{\mathrm{r}} \\ $$
Commented by a.lgnaoui last updated on 27/Jun/23
Commented by cherokeesay last updated on 27/Jun/23
Commented by a.lgnaoui last updated on 28/Jun/23
thanks
$$\mathrm{thanks}\: \\ $$
Answered by mr W last updated on 27/Jun/23
90°+α=135°  ⇒α=45°  ((√2)r)^2 =(12+2)^2 +2^2   ⇒r=10
$$\mathrm{90}°+\alpha=\mathrm{135}° \\ $$$$\Rightarrow\alpha=\mathrm{45}° \\ $$$$\left(\sqrt{\mathrm{2}}{r}\right)^{\mathrm{2}} =\left(\mathrm{12}+\mathrm{2}\right)^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} \\ $$$$\Rightarrow{r}=\mathrm{10} \\ $$
Commented by mr W last updated on 27/Jun/23
Commented by a.lgnaoui last updated on 28/Jun/23
thanks
$$\mathrm{thanks} \\ $$

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