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The Cosine Rule A B C a b c. The Cosine Rule A B C a b c.

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Presentation on theme: "The Cosine Rule A B C a b c. The Cosine Rule A B C a b c."— Presentation transcript:

1 The Cosine Rule A B C a b c

2 The Cosine Rule A B C a b c

3 A B C a b c

4 When To Use The Cosine Rule. The Cosine Rule can be used to find a third side of a triangle if you have the other two sides and the angle between them o L89 o W 147 o 8 11 M

5 Calculating Sides Using The Cosine Rule(1). Calculate the length AC 30m 55° 40m

6 30m 55° 40m b a c

7

8 Calculating Sides Using The Cosine Rule(2). Calculate the length CB 100 ° 13cm 5cm

9 100 ° 13cm 5cm b a c

10

11 Rearranging the cosine rule. You now have a formula for finding an angle if you know all three sides of the triangle.

12 Calculating Angles Using The Cosine Rule (1). Calculate the angle CAB

13 b a c ?

14

15 Calculating Angles Using The Cosine Rule (2). Calculate the angle ?

16 B A C b a c

17


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