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Question Number 143993 by cherokeesay last updated on 20/Jun/21

Answered by mr W last updated on 20/Jun/21

Commented by mr W last updated on 20/Jun/21

(5−r)^2 −r^2 =3^2   ⇒r=(8/5)  x^2 =2r^2 +2r^2 ×(r/(5−r))=2×(8^2 /(17))  x=((8(√(34)))/(17))

$$\left(\mathrm{5}−{r}\right)^{\mathrm{2}} −{r}^{\mathrm{2}} =\mathrm{3}^{\mathrm{2}} \\ $$$$\Rightarrow{r}=\frac{\mathrm{8}}{\mathrm{5}} \\ $$$${x}^{\mathrm{2}} =\mathrm{2}{r}^{\mathrm{2}} +\mathrm{2}{r}^{\mathrm{2}} ×\frac{{r}}{\mathrm{5}−{r}}=\mathrm{2}×\frac{\mathrm{8}^{\mathrm{2}} }{\mathrm{17}} \\ $$$${x}=\frac{\mathrm{8}\sqrt{\mathrm{34}}}{\mathrm{17}} \\ $$

Commented by cherokeesay last updated on 20/Jun/21

thank you sir.  great work !

$${thank}\:{you}\:{sir}. \\ $$$${great}\:{work}\:! \\ $$

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