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Section 6.5 Law of Sines

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Chapter 6 – Trigonometric Functions: Right Triangle Approach

Section 6.5 Law of Sines

6.5 - Law of Sines

- Used for oblique triangles (triangles that do not contain right angles).

6.5 - Law of Sines

- We have two possible cases for the law of sines.
- Case 1 – One side and two angles (ASA or SAA)
- Case 2 – Two sides and the opposite angle to one of those sides (SSA)

6.5 - Law of Sines

- Law of Sines works when we have SAA or ASA.

6.5 - Law of Sines

Solve the triangles below:

a)b)

6.5 - Law of Sines

Solve the triangles below:

a)b)

6.5 - Law of Sines

SSA is called an ambiguous case because the given information can result in zero, one, or two triangles.

6.5 - Law of Sines

6.5 - Law of Sines

6.5 - Law of Sines

6.5 - Law of Sines

- Solve ABC if A = 50, a = 10, and b = 20.

6.5 - Law of Sines

- Solve ABC if A = 40, a = 54, and b = 62.

6.5 - Law of Sines

6.5 - Law of Sines

6.5 - Law of Sines

6.5 - Law of Sines

6.5 - Law of Sines

- Sketch the triangle. Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.

6.5 - Law of Sines