Răspuns:
Explicație pas cu pas:
[tex]A_{ \triangle ABC} = \frac{AB \times BC \times sin \angle ABC }{2} \\ [/tex]
[tex] = \frac{7 \times 8 \times sin60}{2} \\ [/tex]
[tex] = \frac{7 \times 8 \times \frac{ \sqrt{3} }{2} }{2} \\ [/tex]
[tex] = \frac{56 \times \frac{ \sqrt{3} }{2} }{2} \\ [/tex]
[tex] = \frac{ \frac{56 \sqrt{3} }{2} }{2} \\ [/tex]
[tex] = \frac{56 \sqrt{3} }{4} =\boxed{ 14 \sqrt{3} } \\ [/tex]
