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6.2 Law of Cosines. Warm-up Solve the triangle: a = 12b = 31A = 20.5.

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Presentation on theme: "6.2 Law of Cosines. Warm-up Solve the triangle: a = 12b = 31A = 20.5."— Presentation transcript:

1 6.2 Law of Cosines

2 Warm-up Solve the triangle: a = 12b = 31A = 20.5

3 Law of Cosines

4 Example

5

6

7 In a softball game, a batter hits the ball to center field. The centerfielder then throws the ball to third base. The distance from the centerfielder to home plate is 240 feet. The distances between the bases is 60 feet. How far did the center fielder throw the ball?

8 Example A ship travels 40 miles due east and then changes direction. When the ship has traveled 30 miles at this heading, it is 56 miles from its point of departure. What bearing did the ship take when it changed direction? (Assume the ship turned northward.)

9 Which Law to Use???

10 Why is there no triangle possible?


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