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Law of Sines and Cosines

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1 Law of Sines and Cosines
Accelerated Math 3

2 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.

3 Law of Sines a b c A B C

4 Ex. 1: Solve the triangle with C = 102.3o, B = 28.7o and b = 27.4 ft. (Given AAS)

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6 Law of cosines a2 = b2 + c2 – 2bcCosA b2 = a2 + c2 – 2acCosB
c2 = a2 + b2 – 2abCosC

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

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

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