Question Number 49970 by behi83417@gmail.com last updated on 12/Dec/18
Commented by behi83417@gmail.com last updated on 12/Dec/18
$${ABC},{equilateral}.{AD}={DC},\measuredangle{CDE}=\mathrm{30}^{\bullet} \\ $$$$\Rightarrow\:\:\:\:\:\:\:\frac{{area}\left[{ABED}\right]}{{area}\left[{EDC}\right]}=? \\ $$
Answered by mr W last updated on 12/Dec/18
$${CE}=\frac{{CD}}{\mathrm{2}} \\ $$$$\Delta_{{CDE}} =\frac{\Delta_{{CDB}} }{\mathrm{4}}=\frac{\Delta_{{ABC}} }{\mathrm{8}}=\frac{\Delta_{{CDE}} +{A}_{{ABEDA}} }{\mathrm{8}} \\ $$$$\mathrm{7}\Delta_{{CDE}} ={A}_{{ABEDA}} \\ $$$$\Rightarrow\frac{{A}_{{ABEDA}} }{\Delta_{{CDE}} }=\mathrm{7} \\ $$
Commented by behi83417@gmail.com last updated on 12/Dec/18