Giúp mình với mn ơi&:&;&:&;&;&;@;&;&

Giúp mình với mn ơi&:&;&:&;&;&;@;&;&
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  1. a) Ta có:

    $\tan C = \dfrac{AB}{AC}$

    $\Rightarrow AC = \dfrac{AB}{\tan C} = \dfrac{21}{\tan40^o} \approx 25,03 \,cm$

    b) Ta có:

    $\sin C = \dfrac{AB}{BC}$

    $\Rightarrow BC = \dfrac{AB}{\sin C} = \dfrac{21}{\sin40^o} \approx 32,67\, cm$

    c) Ta có:

    $\widehat{C} = 40^o$

    $\Rightarrow \widehat{B} = 50^o$

    $\Rightarrow \widehat{ABD} = 25^o$

    Ta lại có:

    $\cos\widehat{ABD} = \dfrac{AB}{BD}$

    $\Rightarrow BD = \dfrac{AB}{\cos\widehat{ABD}} = \dfrac{AB}{\cos25^o} \approx 23,17\, cm$

    d) Ta có:

    $\tan\widehat{ABD} = \dfrac{AD}{AB}$

    $\Rightarrow AD = AB\tan\widehat{ABD} = 21.\tan25^o \approx 9,79\, cm$

    $\Rightarrow DC = AC – AD = 25,03 – 9,79 = 15,24 \, cm$ 

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