Question-209289

Question Number 209289 by Jubr last updated on 06/Jul/24

Answered by A5T last updated on 06/Jul/24

(s/x)=(7/(21))⇒x=3s (s/y)=((14)/(21))⇒y=((3s)/2) x^2 +y^2 =21^2 ⇒9s^2 +((9s^2 )/4)=21^2 ⇒s^2 =((196)/5)=[Yellow]

$$\frac{{s}}{{x}}=\frac{\mathrm{7}}{\mathrm{21}}\Rightarrow{x}=\mathrm{3}{s} \\ $$$$\frac{{s}}{{y}}=\frac{\mathrm{14}}{\mathrm{21}}\Rightarrow{y}=\frac{\mathrm{3}{s}}{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{21}^{\mathrm{2}} \Rightarrow\mathrm{9}{s}^{\mathrm{2}} +\frac{\mathrm{9}{s}^{\mathrm{2}} }{\mathrm{4}}=\mathrm{21}^{\mathrm{2}} \Rightarrow{s}^{\mathrm{2}} =\frac{\mathrm{196}}{\mathrm{5}}=\left[{Yellow}\right] \\ $$

Commented by Tawa11 last updated on 06/Jul/24