# Law of cosines equations

The law of cosines is the ratio of the lengths of the sides of a triangle with respect to the cosine of its angle. The law of cosines tells us that the square of one side is equal to the sum of the

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## Laws of Cosines & Sines

The Law of Cosines says: c2 = a2 + b2 − 2ab cos (C) Put in the values we know: c2 = 82 + 112 − 2 × 8 × 11 × cos (37º) Do some calculations: c2 = 64 + 121 − 176 × 0.798. More calculations: c2

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## 2.2: The Law of Cosines

The Law of Cosines states: c 2 = a 2 + b 2 − 2 a b cos C . This resembles the Pythagorean Theorem except for the third term and if C is a right angle the third term equals 0 because the cosine of 90 ° is 0 and we get the Pythagorean Theorem.

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## Law of cosines

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