Question

rezolvati repede asta va rog
dau coroana si puncte​

Answer 1

$\bf \hat C=\Hat B=30^o;\ \ \ \hat A=180^o-2\cdot30^o=120^o\\ \\ Teorema\ sinusurilor\ implic\breve a:\\ \\ \\ \dfrac{BC}{sin120^o}=\dfrac{AB}{sin30^o} \Rightarrow \dfrac{8\sqrt3}{\dfrac{\sqrt3}{2}}=\dfrac{AB}{\dfrac{1}{2}} \Rightarrow AB=8\ cm\\ \\ \\ \mathcal{A}=\dfrac{AB\cdot BC\cdot sin30^o}{2}=\dfrac{8\cdot8\sqrt3\cdot\dfrac{1}{2}}{2}=2\cdot8\sqrt3=16\sqrt3\ cm^2\\ \\ \\ \it R\breve a spunsul\ \ corect\ \ este\ \ \bf\ a)\ 16\sqrt3\ cm^2$