Applying the Laws of Sines and Cosines Essay Example | Topics and Well Written Essays - 250 words

Applying the Laws of Sines and Cosines - Essay Example For both solutions of the ambiguous case the third angle is found and the rest sides are calculated (Aufmann and Nation, 2014). SSS and SAS cases are solved applying the law of cosines. According to the law of cosines, the square of any side of the triangle is equal to the sum of squares of the rest sides subtracting double product of these sides and a cosine of the angle between these sides (Aufmann and Nation, 2014). For instance, For SSS case, the cosine of each angle can be found from the equation, and the corresponding angles can be calculated. For the SAS case the unknown side is found from the equation initially. Then, the rest angles are found using the procedure for SSS case (Aufmann and Nation, 2014). Thus, the general guidelines for any triangle are to define the problem or the case (SSS, SSA) encountered. For the ambiguous case, the number of possible triangles has to be found. Afterward, the solution for the triangle can be found using the procedures described