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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.

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Presentation on theme: "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."— Presentation transcript:

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, 25, 31, 37, 43, 49 43, 49

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


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