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Giải bài 1 trang 72 SGK Toán 10 tập 1 – Chân trời sáng tạo

Tính độ dài cạnh x trong các tam giác sau:

🍒Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Chân trời sáng tạo

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Tính độ dài cạnh x trong các tam giác sau:

Phương pháp giải - Xem chi tiết

Áp dụng định lí cosin

Lời giải chi tiết

a) Áp dụng định lí cosin, ta có:

\(\begin{array}{*{20}{l}}
{{x^2} = 6,{5^2} + {5^2} - 2.6,5.5.\cos {{72}^o} \approx 47,16}\\
{ \Leftrightarrow x = \sqrt {47,16} \approx 6,87}
\end{array}\)

b) Áp dụng định lí cosin, ta có:\(\begin{array}{l}{x^2} = {\left( {\frac{1}{5}} \right)^2} + {\left( {\frac{1}{3}} \right)^2} - 2.\frac{1}{5}.\frac{1}{3}.\cos {123^o} \approx 0,224\\ \Leftrightarrow x = \sqrt {0,224} \approx 0,473\end{array}\)

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