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Huỳnh Quang Sang
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2023-01-15 16:18:26
\(sinA\cdot cos\left(B+C\right)+cosA\cdot sin\left(B+C\right)\)
\(=sinA\cdot cos\left(180^0-A\right)+cosA\cdot sin\left(180^0-A\right)\)
\(=sinA\cdot\left(-cosA\right)+cosA\cdot sinA\)
\(=sinA\left(-cosA+cosA\right)=0\).
2023-01-15 16:02:41
Ta có : \(S=\dfrac{abc}{4R}=\dfrac{abc}{4\cdot8}=\dfrac{abc}{32}\)
\(\Rightarrow\dfrac{1}{2}\cdot a\cdot c\cdot sinB=\dfrac{abc}{32}\)
\(\Rightarrow\dfrac{ac}{2}\cdot sin50^0=\dfrac{abc}{32}\)
\(\Rightarrow sin50^0=\dfrac{abc}{32}:\dfrac{ac}{2}\)
\(\Rightarrow sin50^0=\dfrac{abc}{32}\cdot\dfrac{2}{ac}=\dfrac{b}{16}\)
Từ đó , ta được : \(b=16\cdot sin50^0\approx12,257\left(cm\right)\)
Vậy độ dài cạnh AC là xấp xỉ \(12,257cm\).