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# The Sine Law (Animated)

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### The Sine Law (Animated)

1. 1. The Sine Law (animated)
2. 2. Sine Law Let’s begin with the triangle  ABC:
3. 3. Sine Law Let’s begin with the triangle  ABC: A C B
4. 4. Sine Law A C B c a b Let’s begin with the triangle  ABC:
5. 5. Sine Law A C B c a b Let’s begin with the triangle  ABC: D altitude, h h
6. 6. Sine Law A C B c a b Let’s begin with the triangle  ABC: D Note this ratio in triangle  ABD: h
7. 7. Sine Law A C B c a b D Note this ratio in triangle  ABD: Note this ratio in triangle  ABC: h
8. 8. Sine Law A C B c a b D Note this ratio in triangle  ABD: Note this ratio in triangle  ABD: h
9. 9. Sine Law A C B c a b D h
10. 10. Sine Law A C B c a b D Therefore, we get: h
11. 11. Sine Law A C B c a b Therefore, we get: and, if we follow the same method for sides A and C: In conclusion: The Sine Law: