在三角形ABC中,角A,B,C的对应边分别为a,b,c,且满足a2-ab+B2=C2,求角C
1个回答
2013-07-10
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依题意,得:a�0�5+b�0�5-c�0�5=ab
∴(a�0�5+b�0�5-c�0�5)/2ab=1/2
由余弦定理,得:cosC=(a�0�5+b�0�5-c�0�5)/2ab=1/2
∵C∈(0°,180°)∴∠C=60°
∴(a�0�5+b�0�5-c�0�5)/2ab=1/2
由余弦定理,得:cosC=(a�0�5+b�0�5-c�0�5)/2ab=1/2
∵C∈(0°,180°)∴∠C=60°
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