Răspuns :
ΔABC,mas<A=90
sin<B=30= 1/2
sin<B=AC/BC 1/2 =AC/6 AC=6/2=3
AB²=BC²-AC²=6²-3²=36-9=27 ⇒AB=3√3
A=c1*c2/2= AC*AB/2= 3*3√3/2= 9√3/2
sin<B=30= 1/2
sin<B=AC/BC 1/2 =AC/6 AC=6/2=3
AB²=BC²-AC²=6²-3²=36-9=27 ⇒AB=3√3
A=c1*c2/2= AC*AB/2= 3*3√3/2= 9√3/2
[tex]BC=6\; , \; m(\hat{B})=30 \Rightarrow AC=3\\
AB=\sqrt{BC^2-AC^2}=\sqrt{36-9}=\sqrt{25}=5\\
A_{\Delta}=\dfrac{c_1\cdot c_2}{2}=\dfrac{AB\cdot AC}{2}=\dfrac{5 \cdot 3}{2}=7,5 \; cm^2[/tex]