The Law of Sines is a mathematical principle used in trigonometry to relate the angles and sides of a triangle. It states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides and angles. This can be expressed as: \fraca\sin A = \fracb\sin B = \fracc\sin C, where a, b, and c are the sides, and A, B, and C are the corresponding angles. This law is particularly useful for solving triangles when you know either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA). By applying the Law of Sines, you can find unknown angles or side lengths, making it a valuable tool in fields such as geometry, engineering, and {