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Question Number 67728 by TawaTawa last updated on 30/Aug/19

Commented by mr W last updated on 30/Aug/19

$$questionisnotclear.$$$$is\mathrm{\angle }BAD=90°asmarkedoris$$$$\mathrm{\angle }BAC=90°asshown?$$

Commented by TawaTawa last updated on 30/Aug/19

$$\mathrm{yes}\mathrm{sir}$$

Commented by TawaTawa last updated on 30/Aug/19

$$\mathrm{\angle }\mathrm{BAD}=90$$

Commented by TawaTawa last updated on 30/Aug/19

$$\mathrm{That}\mathrm{is}\mathrm{how}\mathrm{the}\mathrm{question}\mathrm{is}.\mathrm{Sir}\mathrm{do}\mathrm{it}\mathrm{correctly}\mathrm{sir}.\mathrm{I}\mathrm{will}\mathrm{study}$$$$\mathrm{your}\mathrm{work}\mathrm{sir}$$$$$$

Commented by TawaTawa last updated on 31/Aug/19

$$\mathrm{Sir},\mathrm{\angle }\mathrm{BAD}=90$$

Answered by mr W last updated on 31/Aug/19

Commented by mr W last updated on 31/Aug/19

$$\mathrm{\angle }BAD=90°$$$$drawAF//ED$$$$\mathrm{\angle }ABD=90°-\alpha$$$$\mathrm{\angle }BAF=90°-\alpha =\mathrm{\angle }ABD$$$$BF=AF=FD=\frac{a}{2}$$$$\frac{DC}{FC}=\frac{DE}{AF}$$$$\Rightarrow \frac{a}{\frac{a}{2}+a}=\frac{3}{\frac{a}{2}}$$$$\Rightarrow \frac{2}{3}=\frac{6}{a}$$$$\Rightarrow a=9$$$$BC=2a=18$$

Commented by TawaTawa last updated on 31/Aug/19

$$\mathrm{Great}.\mathrm{Really}\mathrm{appreciate}\mathrm{you}\mathrm{sir}.\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}.$$

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