Câu 74 :
\(a^2=b^2+c^2-2bccos60^o=36+64-2.6.8.0,5=52\Rightarrow a=2\sqrt{13}\) (chọn A)
Câu 75 :
\(b^2=a^2+c^2-2ac.cos60^o=64+25-2.8.5.0,5=49\Rightarrow b=7\) (chọn A)
Câu 76 :
\(AC^2=AB^2+BC^2-2AB.BC.cos60^o=81+64-2.9.8.0,5=73\Rightarrow AC=\sqrt{73}\)
(chọn A)
Câu 77 :
\(BC^2=AB^2+AC^2-2AB.AC.cos60^o=4+1-2.2.1.0,5=3\Rightarrow BC=\sqrt{3}\)
(chọn C)
Câu 78 :
\(b^2=a^2+c^2-2ac.cos60^o=64+9-2.8.3.0,5=49\Rightarrow b=7\) (chọn C)
Câu 79 : (chọn C)
Câu 80 : (chọn B)
Câu 81 :
\(\dfrac{BC}{sin\widehat{BAC}}=2R\Rightarrow R=\dfrac{BC}{2.sin\widehat{BAC}}=\dfrac{\sqrt{3}}{2.\dfrac{\sqrt{3}}{2}}=1\) (chọn B)
Câu 82 :
\(\dfrac{AC}{sin\widehat{B}}=\dfrac{BC}{sin\widehat{A}}\Rightarrow BC=\dfrac{sin\widehat{A}.AC}{sin\widehat{B}}=\dfrac{\dfrac{\sqrt{3}}{2}.4}{\dfrac{\sqrt{2}}{2}}=2\sqrt{6}\) (chọn A)