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
My availability for that week
W Th F
Before School Y
0. Turn in HW#24
After School rm 19 N Y
1. Whiteboard Warmup
2. Lesson-6.1 Law of Sines (Ambiguous Case)
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)
1. Determine the number of triangles possible and solve the triangle.
2. Find area of triangles.
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.
If angle A is acute, and
, no such triangle If angle A is acute, and
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:
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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