1. PC_6.1B_Notes 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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2. PC_6.1B_Notes February 03, 2012
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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3. PC_6.1B_Notes February 03, 2012
Here's how 2 triangles
are formed.
0°
234
12 19
52°
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4. PC_6.1B_Notes February 03, 2012
The Test for SSA ­
How you determine the number of solutions:
If opp ≥ adj, then __________
If opp < adj, then __________
The second solution: Then find B ,
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A1 is the _______ angle found. C , and c
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Second solution angle A2= _______
Then find B2, C2, and c2
You will have to complete the problem twice!
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5. PC_6.1B_Notes February 03, 2012
Ex. 1﴿ Use the Law of Sines to find the missing
sides and angles. Solutions?
A=48°, a=11.4, c=12.8
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6. PC_6.1B_Notes February 03, 2012
Ex. 2﴿ Use the Law of Sines to find the missing
sides and angles. Solutions?
A=76°, a=18, c=20
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7. PC_6.1B_Notes February 03, 2012
Ex. 3)
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8. PC_6.1B_Notes February 03, 2012
Ex. 4)
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9. PC_6.1B_Notes February 03, 2012
How do you know?
0 solutions:
1 solution:
2 solutions:
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10. PC_6.1B_Notes February 03, 2012
Assignment:
LOS: The
Ambiguous Case
WS
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11. PC_6.1B_Notes February 03, 2012
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12. PC_6.1B_Notes February 03, 2012
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13. PC_6.1B_Notes February 03, 2012
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