Law of cosines - Weblio 英和・和英辞典 (original) (raw)

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Let a, b, and c be the lengths of the sides of a triangle opposite angles A, B, and C. The law of cosines states

a 2 = b 2 + c 2 − 2 b c cos ⁡ A {\displaystyle a^{2}=b^{2}+c^{2}-2bc\cos {A}}

b 2 = a 2 + c 2 − 2 a c cos ⁡ B {\displaystyle b^{2}=a^{2}+c^{2}-2ac\cos {B}}

c 2 = a 2 + b 2 − 2 a b cos ⁡ C {\displaystyle c^{2}=a^{2}+b^{2}-2ab\cos {C}} .