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Question-221247




Question Number 221247 by fantastic last updated on 28/May/25
Commented by fantastic last updated on 28/May/25
what is the yellow chord length?
$${what}\:{is}\:{the}\:{yellow}\:{chord}\:{length}? \\ $$
Answered by mehdee7396 last updated on 28/May/25
x(14+y)=240⇒14x+xy=240  y(14+x)=240⇒14y+xy=240  ⇒x=y⇒x^2 +14x−240=0  ⇒x=10⇒l=34
$${x}\left(\mathrm{14}+{y}\right)=\mathrm{240}\Rightarrow\mathrm{14}{x}+{xy}=\mathrm{240} \\ $$$${y}\left(\mathrm{14}+{x}\right)=\mathrm{240}\Rightarrow\mathrm{14}{y}+{xy}=\mathrm{240} \\ $$$$\Rightarrow{x}={y}\Rightarrow{x}^{\mathrm{2}} +\mathrm{14}{x}−\mathrm{240}=\mathrm{0} \\ $$$$\Rightarrow{x}=\mathrm{10}\Rightarrow{l}=\mathrm{34} \\ $$$$ \\ $$
Commented by mehdee7396 last updated on 28/May/25
Commented by fantastic last updated on 28/May/25
thanks sir
$${thanks}\:{sir} \\ $$

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