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Question Number 136761 by I want to learn more last updated on 25/Mar/21

Commented by I want to learn more last updated on 25/Mar/21

I appreciate sir. God bless you.

$$\mathrm{I}\:\mathrm{appreciate}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}. \\ $$

Answered by mr W last updated on 25/Mar/21

ΔBDA∼ΔBAC  ((BD)/(AB))=((AB)/(BC))  ⇒BD×BC=AB^2 =6^2   area BCE=((CE×BC)/2)=((BD×BC)/2)                        =(6^2 /2)=18

$$\Delta{BDA}\sim\Delta{BAC} \\ $$$$\frac{{BD}}{{AB}}=\frac{{AB}}{{BC}} \\ $$$$\Rightarrow{BD}×{BC}={AB}^{\mathrm{2}} =\mathrm{6}^{\mathrm{2}} \\ $$$${area}\:{BCE}=\frac{{CE}×{BC}}{\mathrm{2}}=\frac{{BD}×{BC}}{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\frac{\mathrm{6}^{\mathrm{2}} }{\mathrm{2}}=\mathrm{18} \\ $$

Commented by I want to learn more last updated on 25/Mar/21

What is this sign sir  (∼)

$$\mathrm{What}\:\mathrm{is}\:\mathrm{this}\:\mathrm{sign}\:\mathrm{sir}\:\:\left(\sim\right) \\ $$

Commented by mr W last updated on 25/Mar/21

not yet learnt geometry about  similar triangles? then you can not  understand the working.

$${not}\:{yet}\:{learnt}\:{geometry}\:{about} \\ $$$${similar}\:{triangles}?\:{then}\:{you}\:{can}\:{not} \\ $$$${understand}\:{the}\:{working}. \\ $$

Commented by I want to learn more last updated on 25/Mar/21

I don′t know the symbol represent similar triangle sir.  Thanks. I understand better now sir

$$\mathrm{I}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mathrm{the}\:\mathrm{symbol}\:\mathrm{represent}\:\mathrm{similar}\:\mathrm{triangle}\:\mathrm{sir}. \\ $$$$\mathrm{Thanks}.\:\mathrm{I}\:\mathrm{understand}\:\mathrm{better}\:\mathrm{now}\:\mathrm{sir} \\ $$

Commented by mr W last updated on 25/Mar/21

which symbol do you use otherwise?

$${which}\:{symbol}\:{do}\:{you}\:{use}\:{otherwise}? \\ $$

Commented by I want to learn more last updated on 25/Mar/21

I understand better now sir.

$$\mathrm{I}\:\mathrm{understand}\:\mathrm{better}\:\mathrm{now}\:\mathrm{sir}. \\ $$

Commented by I want to learn more last updated on 25/Mar/21

I just see ′similar in word′

$$\mathrm{I}\:\mathrm{just}\:\mathrm{see}\:'\mathrm{similar}\:\mathrm{in}\:\mathrm{word}' \\ $$

Commented by mr W last updated on 26/Mar/21

i thought in all world the symbol ∼   is used for similarity in geometry.

$${i}\:{thought}\:{in}\:{all}\:{world}\:{the}\:{symbol}\:\sim\: \\ $$$${is}\:{used}\:{for}\:{similarity}\:{in}\:{geometry}. \\ $$

Commented by otchereabdullai@gmail.com last updated on 27/Mar/21

thanks prof

$$\mathrm{thanks}\:\mathrm{prof} \\ $$

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