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Question-191062




Question Number 191062 by Mingma last updated on 17/Apr/23
Answered by mr W last updated on 17/Apr/23
Commented by mr W last updated on 17/Apr/23
ΔCAB∼ΔCDE  ((DE)/(AB))=(h_a /a)=(h_b /b)=((√3)/2)  ⇒green line=DE=((√3)/2)×AB=(√3)
$$\Delta{CAB}\sim\Delta{CDE} \\ $$$$\frac{{DE}}{{AB}}=\frac{{h}_{{a}} }{{a}}=\frac{{h}_{{b}} }{{b}}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}} \\ $$$$\Rightarrow{green}\:{line}={DE}=\frac{\sqrt{\mathrm{3}}}{\mathrm{2}}×{AB}=\sqrt{\mathrm{3}} \\ $$
Commented by Mingma last updated on 17/Apr/23
Excellent!

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