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urgemttttttt   1)rezolvati triunghiul abcd an A   daca ac =8√3 si m(B)=60 grade,2)rezolvati triunghiul abc dreptunghic  an  A daca  sin de c =1 pe 2 si ac=3

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Cristinatibulcaask
1)m(A)+m(B)+m(C)=180, 90+60+m(C)=180=>m(C)=30
sinB=[tex] \frac{AC}{BC} =>BC= \frac{AC}{sinB}= \frac{8 \sqrt{3} }{ \frac{ \sqrt{3} }{2} }=16 [/tex]

cosB=[tex] \frac{AB}{BC}=>AB=BC*cosB=16* \frac{1}{2}=8 [/tex]


2)[tex]sinC= \frac{1}{2}=>m(C)=30 [/tex]
m(A)+m(B)+m(C)=180,  
90+30+m(B)=180=>m(B)=60
cosC=[tex] \frac{AC}{BC}=>BC= \frac{AC}{cosC} = \frac{3}{ \frac{ \sqrt{3} }{2} } =2 \sqrt{3}[/tex]

tgC=[tex] \frac{AB}{AC}=>AB=AC*tgC=3* \frac{ \sqrt{3} }{3} = \sqrt{3} [/tex]

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