Explicație pas cu pas:
[tex] \sin(C) = \frac{ \sqrt{3} }{2}[/tex]
=> m(∢C) = 60°
[tex] \cos(C) = \cos(60) = \frac{1}{2} [/tex]
[tex]\tan(C) = \tan(60) = \sqrt{3} \\ \cot(C) = \cot(60) = \frac{ \sqrt{3} }{3} [/tex]
=> m(∢A) = 30°
[tex] = > AB = \frac{AC}{2} \\ AB = x = > AC = 2x \\ AC^{2} - AB^{2}=BC^{2} \\ 4 {x}^{2} - {x}^{2} = (12 \sqrt{3} )^{2} = > 3 {x}^{2} = 3 \times 144 \\ = > {x}^{2} = 144 = > x = 12 \: cm \\ AB = 12 \: cm \\ AC = 24 \: cm[/tex]
