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Triunghiul ABC are AB=4cm,AC=6cm si aria 4cm patrati,sin BAC=...

Răspuns :

[tex]A \ triunghi\ = \frac{AB*AC*sin(BAC)}{2} = 4 (cm^{2} ) \\ \\ \frac{AB*AC*sin(BAC)}{2} = 4 \rightarrow sin(BAC)= \frac{4*2}{AB*AC } \rightarrow sin(BAC)= \frac{8}{4*6} \rightarrow \\ \\ sin(BAC)= \frac{8}{8*3} \rightarrow sin(BAC)= \frac{1}{3} [/tex]