Pc 6.1 b_notes
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This document discusses using the Law of Sines to solve ambiguous triangle cases given two sides and a non-included angle (SSA). There can be 1, 2, or 0 solutions depending on whether the opposite side is greater than or less than the adjacent side. Examples are provided to practice solving SSA cases using the Law of Sines. Students are assigned a worksheet to practice solving ambiguous triangle cases.
Pc 6.1 b_notes
- 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 1
- 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: 2
- 3. PC_6.1B_Notes February 03, 2012 Here's how 2 triangles are formed. 0° 234 12 19 52° 3
- 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 , 1 A1 is the _______ angle found. C , and c 1 1 Second solution angle A2= _______ Then find B2, C2, and c2 You will have to complete the problem twice! 4
- 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 5
- 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 6
- 7. PC_6.1B_Notes February 03, 2012 Ex. 3) 7
- 8. PC_6.1B_Notes February 03, 2012 Ex. 4) 8
- 9. PC_6.1B_Notes February 03, 2012 How do you know? 0 solutions: 1 solution: 2 solutions: 9
- 10. PC_6.1B_Notes February 03, 2012 Assignment: LOS: The Ambiguous Case WS 10
- 11. PC_6.1B_Notes February 03, 2012 11
- 12. PC_6.1B_Notes February 03, 2012 12
- 13. PC_6.1B_Notes February 03, 2012 13