Solving Triangles Using the Law of Cosines

Introduction to Law of Cosines for SAS Triangles00:00:01

The video introduces solving a triangle with given sides a=10, b=20, and angle C=60 degrees. It explains why the Law of Sines is insufficient in this case and introduces the Law of Cosines formula.

Solving for Side C and Remaining Angles00:02:27

Detailed calculation of side C using the Law of Cosines, resulting in approximately 17.32. Afterward, the Law of Sines is applied to find angle B (90 degrees) and angle A (30 degrees).

Solving SSS Triangles00:05:15

Demonstration of solving a triangle where all three sides are known (a=7, b=8, c=9). The Law of Cosines is rearranged to solve for an angle, providing the method to find the first angle before using the Law of Sines for the remaining parts.