Respuesta :

As we know,

  • [tex] \cos(45) = \dfrac{1}{ \sqrt{2} } [/tex]

  • [tex] \dfrac{a}{c} = \dfrac{1}{ \sqrt{2} } [/tex]

  • [tex] \dfrac{a}{12} = \dfrac{1}{ \sqrt{2} } [/tex]

  • [tex]a = \dfrac{12}{ \sqrt{2} } [/tex]

  • [tex]a = 6 \sqrt{2} [/tex]

therefore, correct option is B

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