6.1 Law of Sines (Ambiguous Case)

6.1 Law of Sines (Ambiguous Case) - 6.1 Law of Sines...

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Unformatted text preview: 6.1 Law of Sines (Ambiguous Case) Test retakes: Oct 17-21. You can retake any or all parts. Your retake erases your previous score. My availability for that week M T W Th F Before School Y Y Y Y Y Agenda: Lunch Y NY Y N 0. Turn in HW#24 After School rm 19 N Y Y N 1. Whiteboard Warmup 2. Lesson-6.1 Law of Sines (Ambiguous Case) ___________________________ Whiteboard Warmup Solve the following triangle. Monday, October 10, 2011 7:12 AM Remember that we can use inverse trig functions to find angle measures! ___________________________ HW Questions? ___________________________ Lesson-6.1 Law of Sines (Ambiguous Case) Goals: 1. Determine the number of triangles possible and solve the triangle. 2. Find area of triangles. DOD Ambiguous Case (SSA): If two sides and one opposite angle are given, three possible Ch_6 Page 1 Ambiguous Case (SSA): If two sides and one opposite angle are given, three possible situations can occur 1. No such triangle exists 2. One such triangle exists 3. Two different triangles exist. (GSP Demo) If angle A is acute, and , no such triangle If angle A is acute, and , one exists. possible triangle exists. If angle A is acute, and triangle exists. , one possible If angle A is obtuse, and such triangle exists. or , no If angle A is acute, and possible triangles exist. , two If angle A is obtuse, and triangle exists. , one such Area of an Oblique Triangle If you know two sides and their included angle, then: Area ___________________________ Examples How many triangles are possible? Ch_6 Page 2 Examples How many triangles are possible? Verify that no triangle exists for this situation. Solve the triangle. How many triangles exist? Ch_6 Page 3 Find the area. Ch_6 Page 4 ...
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