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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 = 102.3o, B = 28.7o and b = 27.4 ft. (Given AAS)**

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

c2 = a2 + b2 – 2abCosC

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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 = 115o, b = 15 cm and c = 10 cm

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1 What you will learn How to solve triangles by using the Law of Cosines How to find the area of triangles if the measures of the three sides are given.

1 What you will learn How to solve triangles by using the Law of Cosines How to find the area of triangles if the measures of the three sides are given.

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