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##### 6.1 Laws of Sines

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**The Laws of Sine can be used with Oblique triangle**Oblique triangle is a triangle that contains no right angle.**Using the Law of Sines**Given: How do you find angle B?**Using the Law of Sines**Given: How do you find side b?**Using the Law of Sines**Given: How do you find side b?**Using the Law of Sines**Given: How do you find side b?**Using the Law of Sines**Given: How do you find side c?**Using the Law of Sines**Given: How do you find side c?**The Ambiguous Case**Look at this triangle. If we look at where angle A Is Acute**The Ambiguous Case**Look at this triangle. If we look at If a = h, then there is one triangle**The Ambiguous Case**Look at this triangle. If we look at If a < h, then there is no triangle**The Ambiguous Case**Look at this triangle. If we look at If a > b, then there is one triangle**The Ambiguous Case**Look at this triangle. If we look at If h< a <b, then there is two triangles**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**The Ambiguous Case**Where Angle A is Obtuse. If a ≤ b, there is no triangle**The Ambiguous Case**Where Angle A is Obtuse. If a > b, there is one triangle**Area of an Oblique triangle**Using two sides and an Angle.**Homework**Page 416 # 1, 7, 13, 19, 25, 31, 37, 43, 49**Homework**Page 416 # 4, 10, 16, 22, 28, 34, 40, 46, 52