The Law of Sines. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. It works for any triangle: a,b and c are sides. A,B and C are angles. (Side a faces angle A,side b faces angle B and. side c faces angle C).
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How do you use the law of sines?
The Law of Sines can be used to solve for the sides and angles of an oblique triangle when the following measurements are known: 1 Two angles and one side: AAS (angle-angle-side) or ASA (angle-side-angle) 2 Two sides and a non-included angle: SSA (side-side-angle) More …
How do you use the law of sines to solve triangulation?
You can transform the law of sines formulas to solve some problems of triangulation (solving a triangle). You can use them to find: The remaining sides of a triangle, knowing two angles and one side. The third side of a triangle, knowing two sides and one of the non-enclosed angles.
How do you use the law of sines to prove congruence?
To use the Law of Sines you need to know either two angles and one side of the triangle (AAS or ASA) or two sides and an angle opposite one of them (SSA). Notice that for the first two cases we use the same parts that we used to prove congruence of triangles in geometry but in the last case we could not prove congruent triangles given these parts.
How do you find the sine of a triangle?
In a triangle, side 鈥渁鈥?divided by the sine of angle A is equal to the side 鈥渂鈥?divided by the sine of angle B is equal to the side 鈥渃鈥?divided by the sine of angle C. So, we use the Sine rule to find unknown lengths or angles of the triangle. It is also called as Sine Rule, Sine Law or Sine Formula.