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5.8 The Law of Cosines Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved.

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Presentation on theme: "5.8 The Law of Cosines Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved."— Presentation transcript:

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2 5.8 The Law of Cosines

3 Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved in more than one way. Choosing the most efficient way to solve a problem is sometimes not obvious. Decision making is an important problem-solving strategy

4 Law of Cosines – Law of Cosines allows us to solve a triangle when the Law of Sines cannot be used. Most problems can be solved in more than one way. Choosing the most efficient way to solve a problem is sometimes not obvious. Decision making is an important problem-solving strategy

5 The Law of Cosines can be used to solve a triangle in the following cases Case 1. You know the measures of 2 sides and the included angle. Case 2. You know the measures of three sides.

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7 Solve the triangle. Ex: A = 120, b = 9, c = 5

8 Solve the triangle Ex: a = 24, b = 40, c = 18

9 Find the area a = 4, b = 7, c = 9

10 Hero’s Formula

11 Find the Area a = 72, b = 83, c = 95


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