Law of Cosines Chapter 5, Section 6.

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Presentation transcript:

Law of Cosines Chapter 5, Section 6

What is the law of cosines? Used to provide a relationship between the angles and sides of a triangle Relates to the pythagorean theorem First appeared in 1895 in a book by George Albert Wentworth

Law of Cosines Triangle

Examples – 3 sides

Examples – 2 sides, 1 angle

Area of a Triangle These are 3 equivalent representations Only need to use one to find the area

Examples – find the area

Homework page 494 #3-18 multiples of 3 Exit Slip: Explain how you know to use the law of sines or the law of cosines in a problem.