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Mastering Laws of Sines for Oblique Triangles

Learn to apply the Laws of Sines in solving oblique triangles. Discover how to find angles and sides using this powerful trigonometric tool. Explore the Ambiguous Case and calculations for varying triangle scenarios. Check homework exercises for practice.

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Mastering Laws of Sines for Oblique Triangles

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  1. 6.1 Laws of Sines

  2. The Laws of Sine can be used with Oblique triangle Oblique triangle is a triangle that contains no right angle.

  3. The Laws of Sines

  4. Using the Law of Sines Given: How do you find angle B?

  5. Using the Law of Sines Given: How do you find side b?

  6. Using the Law of Sines Given: How do you find side b?

  7. Using the Law of Sines Given: How do you find side b?

  8. Using the Law of Sines Given: How do you find side c?

  9. Using the Law of Sines Given: How do you find side c?

  10. The Ambiguous Case Look at this triangle. If we look at where angle A Is Acute

  11. The Ambiguous Case Look at this triangle. If we look at If a = h, then there is one triangle

  12. The Ambiguous Case Look at this triangle. If we look at If a < h, then there is no triangle

  13. The Ambiguous Case Look at this triangle. If we look at If a > b, then there is one triangle

  14. The Ambiguous Case Look at this triangle. If we look at If h< a <b, then there is two triangles

  15. The Ambiguous Case Do you remember the Hinge Theorem from Geometry. Given two sides and one angle, two different triangles can be made. http://mrself.weebly.com/5-5-the-hinge-theorem.html

  16. The Ambiguous Case Where Angle A is Obtuse. If a ≤ b, there is no triangle

  17. The Ambiguous Case Where Angle A is Obtuse. If a > b, there is one triangle

  18. Area of an Oblique triangle Using two sides and an Angle.

  19. Find the missing Angles and Sides Given:

  20. Find the missing Angles and Sides Given:

  21. Find the missing Angles and Sides Given:

  22. Homework Page 416 # 1, 7, 13, 19, 25, 31, 37, 43, 49

  23. Homework Page 416 # 4, 10, 16, 22, 28, 34, 40, 46, 52

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