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Law of Sines
High School
Definition
The Law of Sines states that the ratio of each side length to the sine of its opposite angle is constant in a triangle.
Formulas
(a)/(sin A) = (b)/(sin B) = (c)/(sin C) = 2R
Law of Sines (R is circumradius)
Examples
Example 1
In a triangle with A = 30°, B = 45°, and a = 5, find b.
Applications
Surveying
Distance measurement, mapping
Navigation
Ship positioning
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