1. 8.6 Law of Sines and Law of Cosines
Then: You used trigonometric ratios to solve right triangles.
Now:
Use the Law of Sines to solve triangles.
Use the Law of Cosines to solve triangles.

2. Law of Sines and Law of Cosines
To find measures for nonright triangles, the definition of sine and cosine can be extended to obtuse angles.

3. Example 1: Law of Sines (AAS)
a. Find x. Round to the nearest tenth.

4. Example 1: Law of Sines (AAS)
b. Find x. Round to the nearest tenth.

5. Example 2: Law of Sines (ASA)
a. Find x. Round to the nearest tenth.

6. Example 2: Law of Sines (ASA)
b. Find x. Round to the nearest tenth.

7. Law of Cosines

8. Example 3: Law of Cosines (SAS)
a. Find x. Round side measures to the nearest tenth.

9. Example 3: Law of Cosines (SAS)
b. Find x. Round side measures to the nearest tenth.

10. Example 4: Law of Cosines (SSS)
a. Find x. Round the angle measure to the nearest degree.

11. Example 4: Law of Cosines (SSS)
b. Find x. Round the angle measure to the nearest degree.

12. Example 5: Indirect Measurement
In a children's amusement park, the administration wanted to build a walker's bridge along a Pond in the midst of the park from point A to B. For this purpose an Engineer identified the approximate straight edge of the Pond near B and marked a point C at a distance 12 m from B. He was able to measure the ACB=102 and  ABC = 68º to estimate the length of the bride to be built. Find the approximate length of the bridge rounded to a meter.

13. Example 5a:
Solution:

14. Example 6: Solve a Triangle
Solve PQR. Round to the nearest degree. 1. Use Law of Cosines to find mP.

15. Example 6: Solve a Triangle
2. Use the Law of Sines to find mQ.

16. Example 6: Solve a Triangle
3. Use Triangle Sum Theorem to find mR.

17. Solving a Triangle

18. p. 593-596 #12-38 evens, 43, 44, 50, 54 MUST Show Work!!!
8.6 Assignment:
p #12-38 evens, 43, 44, 50, 54 MUST Show Work!!!