Summary
A tutorial on solving triangles using the Law of Cosines, covering both Side-Angle-Side (SAS) and Side-Side-Side (SSS) scenarios.
Highlights
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.