Question

Explain how you would solve a triangle given two sides and the included angle.

two sentences

Answer 1

Given sides a and b with included angle C, compute the third side c using the Law of Cosines: c = sqrt(a^2 + b^2 − 2ab·cos C). Then find one of the remaining angles with the Law of Sines, e.g. A = arcsin(a·sin C / c), and get the last angle B = 180° − A − C.