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Question-221332




Question Number 221332 by fantastic last updated on 30/May/25
Answered by mr W last updated on 30/May/25
AB=OB=(√3) OD  ((ΔDOE)/(ΔABC))=(((OD)/(AB)))^2 =((1/( (√3))))^2 =(1/3)  ⇒ΔDOE=((12)/3)=4 sq. units
$${AB}={OB}=\sqrt{\mathrm{3}}\:{OD} \\ $$$$\frac{\Delta{DOE}}{\Delta{ABC}}=\left(\frac{{OD}}{{AB}}\right)^{\mathrm{2}} =\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)^{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\Rightarrow\Delta{DOE}=\frac{\mathrm{12}}{\mathrm{3}}=\mathrm{4}\:{sq}.\:{units} \\ $$

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