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6.1 Laws of Sines

6.1 Laws of Sines. The Laws of Sine can be used with Oblique triangle. Oblique triangle is a triangle that contains no right angle. The Laws of Sines. Using the Law of Sines. Given: How do you find angle B?. Using the Law of Sines. Given: How do you find side b?.

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6.1 Laws of Sines

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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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