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Question-205631




Question Number 205631 by Lindemann last updated on 26/Mar/24
Answered by A5T last updated on 26/Mar/24
If angle between x and x+17 is 90°  (x+18)^2 =x^2 +(x+17)^2 ⇒x=7  ((7×24)/2)=r(((7+24+25)/2))⇒r=3
$${If}\:{angle}\:{between}\:{x}\:{and}\:{x}+\mathrm{17}\:{is}\:\mathrm{90}° \\ $$$$\left({x}+\mathrm{18}\right)^{\mathrm{2}} ={x}^{\mathrm{2}} +\left({x}+\mathrm{17}\right)^{\mathrm{2}} \Rightarrow{x}=\mathrm{7} \\ $$$$\frac{\mathrm{7}×\mathrm{24}}{\mathrm{2}}={r}\left(\frac{\mathrm{7}+\mathrm{24}+\mathrm{25}}{\mathrm{2}}\right)\Rightarrow{r}=\mathrm{3} \\ $$

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