Pc 6.1 b_notes
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PC_6.1B_Notes 1 February 03, 2012 6.1 Continued… Law of Sines Objective: Use the law of sines to solve the ambiguous case of a triangle Standard: Trigonometry 13.0, 14.0
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Transcript of Pc 6.1 b_notes
PC_6.1B_Notes
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February 03, 2012
6.1 Continued…Law of Sines
Objective: Use the law of sines to solve the ambiguous case of a triangle
Standard: Trigonometry 13.0, 14.0
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The Ambiguous Case: SSA
SSA is not a congruency property from Geometry, so we need to be careful when solving a triangle given two sides and the NONincluded angle.
Three Possible Outcomes:
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52°
1912
Here's how 2 triangles are formed.
0°234
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The Test for SSA How you determine the number of solutions:If opp ≥ adj, then __________
If opp < adj, then __________
The second solution:
A1 is the _______ angle found.
Second solution angle A2= _______
You will have to complete the problem twice!
Then find B1,
C1, and c1
Then find B2, C2, and c2
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Ex. 1﴿ Use the Law of Sines to find the missing sides and angles.A=48°, a=11.4, c=12.8
Solutions?
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Ex. 2﴿ Use the Law of Sines to find the missing sides and angles.
A=76°, a=18, c=20Solutions?
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Ex. 3)
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Ex. 4)
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How do you know?
0 solutions:
1 solution:
2 solutions:
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Assignment:
LOS: The Ambiguous Case WS
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