Oblique Triangles: Law of Sines
The law of sines relates sides of a triangle to angles opposite them.
Referencing the above
figure, the law of sines may be written as:
The law of sines should be used when:
The law of sines should be used when:
- Seeking side opposite second given angle upon knolwedge of two angles and side opposite one of them
- Seeking third angle followed by remaining sides upon knolwedge of two angles and included side
- Seeking angle opposite second given side upon knolwedge of two sides and angle opposite one of them
Example:
For a = 5, b = 6, and α = 30o in figure below, determine the angle β.
For a = 5, b = 6, and α = 30o in figure below, determine the angle β.
Solution:
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