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Law of Sines and Cosines Accelerated Math 3

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You should know… Solving a triangle means finding all sides and angles. Law of Sines and Cosines work for all triangles – not just right triangles.

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Law of Sines a b c A B C

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Ex. 1: Solve the triangle with C = o, B = 28.7 o and b = 27.4 ft. (Given AAS)

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Law of cosines a 2 = b 2 + c 2 – 2bcCosA b 2 = a 2 + c 2 – 2acCosB c 2 = a 2 + b 2 – 2abCosC b a c A B C

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Ex. 2: Find all the angles. (Given SSS) a = 8 ft, b = 19 ft and c = 14 ft

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Ex. 3: Find the missing measures. (Given SAS) A = 115 o, b = 15 cm and c = 10 cm

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