Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Law of Sines sin A a sin B b Law of Cosines (SSS form) sin C c cos A Law of Cosines (SAS form) cos B a 2 b 2 c 2 2bccos A 2accos B b2 a2 c2 2 2 2 c a b 2abcos C B b a c2 a 2 2bc a2 c2 b2 2ac a2 b2 c2 2ab These formulas refer to any triangle labeled with angles A, B and C, and sides a, b and c. Each angle (always capitalized) must be across from the side with the same letter (always lower case). A c cos C b2 C The steps are named by which sides or angles are given in the problem. Thus, if the measures of two sides and one angle are given, and the angle connects the two sides, it is Side-Angle-Side (written SAS). If the angle does not connect the sides, it is SSA (Side-Side-Angle). This is the same notation from Geometry. AAS Subtract to find third angle, then use Law of Sines to find the sides. ASA Subtract to find third angle, then use Law of Sines to find the sides. SAS Use Law of Cosines (SAS form) to find the unknown side (write it out to at least 6 decimal places), then use Law of Sines to find the smallest angle. Subtract to find the third. SSS Use Law of Cosines (SSS form) twice to find two angles. Subtract to find the third. SSA Draw two triangles with the same given information. Use Law of Sines to find an angle. Put that angle into one triangle and the supplement of that angle in the other triangle (in the same position). Cross out impossible triangles (where two angles add up to 180° or more) and subtract to find the last angle of each possible triangle. Use Law of Sines to find the last side for each possible triangle.