Question Number 221332 by fantastic last updated on 30/May/25

Answered by mr W last updated on 30/May/25

$${AB}={OB}=\sqrt{\mathrm{3}}\:{OD} \\ $$$$\frac{\Delta{DOE}}{\Delta{ABC}}=\left(\frac{{OD}}{{AB}}\right)^{\mathrm{2}} =\left(\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}\right)^{\mathrm{2}} =\frac{\mathrm{1}}{\mathrm{3}} \\ $$$$\Rightarrow\Delta{DOE}=\frac{\mathrm{12}}{\mathrm{3}}=\mathrm{4}\:{sq}.\:{units} \\ $$