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Question-188623




Question Number 188623 by normans last updated on 03/Mar/23
Commented by mr W last updated on 04/Mar/23
Commented by mr W last updated on 04/Mar/23
data are not sufficient to determine  the total area!
$${data}\:{are}\:{not}\:{sufficient}\:{to}\:{determine} \\ $$$${the}\:{total}\:{area}! \\ $$
Commented by HeferH last updated on 05/Mar/23
i think he meant this
$${i}\:{think}\:{he}\:{meant}\:{this} \\ $$
Commented by HeferH last updated on 05/Mar/23
Answered by a.lgnaoui last updated on 04/Mar/23
Aire( EFGC)    EF=x    tan 75=(x/2) x=7,4641   [Aire(EFCG)=2×x=14,928  ABDE (triangles equilaterales cote=2)  Aire=2×(√3) =3,464  △ABC    ∡CBA=60(AC∣∣ BG)  ∡ACH=30   tan  30=((√3)/3)=(2/y)  y= 2(√3)  Aire(ABC)=((4(√3))/2) =3,464         Aire totale=21,856
$${Aire}\left(\:{EFGC}\right)\:\:\:\:{EF}={x}\:\:\:\:\mathrm{tan}\:\mathrm{75}=\frac{{x}}{\mathrm{2}}\:{x}=\mathrm{7},\mathrm{4641} \\ $$$$\:\left[{Aire}\left({EFCG}\right)=\mathrm{2}×{x}=\mathrm{14},\mathrm{928}\right. \\ $$$${ABDE}\:\left({triangles}\:{equilaterales}\:{cote}=\mathrm{2}\right) \\ $$$${Aire}=\mathrm{2}×\sqrt{\mathrm{3}}\:=\mathrm{3},\mathrm{464} \\ $$$$\bigtriangleup{ABC}\:\:\:\:\measuredangle{CBA}=\mathrm{60}\left({AC}\mid\mid\:{BG}\right) \\ $$$$\measuredangle{ACH}=\mathrm{30}\:\:\:\mathrm{tan}\:\:\mathrm{30}=\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}=\frac{\mathrm{2}}{{y}}\:\:{y}=\:\mathrm{2}\sqrt{\mathrm{3}} \\ $$$${Aire}\left({ABC}\right)=\frac{\mathrm{4}\sqrt{\mathrm{3}}}{\mathrm{2}}\:=\mathrm{3},\mathrm{464} \\ $$$$\:\:\:\:\:\:\:\boldsymbol{{Aire}}\:\boldsymbol{{totale}}=\mathrm{21},\mathrm{856} \\ $$$$\:\:\: \\ $$
Commented by mr W last updated on 04/Mar/23
data are not sufficient to determine  the total area!
$${data}\:{are}\:{not}\:{sufficient}\:{to}\:{determine} \\ $$$${the}\:{total}\:{area}! \\ $$
Commented by a.lgnaoui last updated on 04/Mar/23
Commented by mr W last updated on 05/Mar/23
in question A,C,D are not given to be  collinear.
$${in}\:{question}\:{A},{C},{D}\:{are}\:{not}\:{given}\:{to}\:{be} \\ $$$${collinear}. \\ $$

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