Chapter 4 – Solving Triangles

Topic 4.2
Solving Triangles Using the Law of Cosines

Solving Triangles Using the Law of Cosines solves triangles in the Side-Angle-Side (SAS) and Side-Side-Side (SSS) cases. It refers to the Law of Sines to complete the solving process, so familiarity with Solving Triangles Using the Law of Sines – Part I is helpful, but not necessary. Each problem could be solved using only the Law of Cosines. The remaining case, the ambiguous Side-Side-Angle (SSA) case is shown in Solving Triangles Using the Law of Sines – Part II.

The proof of the Law of Cosines is not given here, only examples where the Law of Cosines is used to solve triangles.

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Trigonometry by Mike Weimerskirch and the University of Minnesota Board of Regents is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.