The Pythagorean Theorem is Mid - Law of Cosines and Law of Sines for General Triangles
Wrath of Math via YouTube
Overview
This 19-minute mathematics video explores why the Pythagorean theorem is limited to right triangles and introduces more versatile alternatives for solving general triangles. Learn how the law of cosines and the law of sines provide robust solutions when dealing with non-right angles, including the challenging ambiguous case of SSA (Side-Side-Angle). Follow along as the presenter breaks down the process of solving triangles, demonstrates practical applications of these trigonometric laws, and explains when to use each method. The video progresses from basic triangle-solving concepts to handling complex ambiguous cases, making advanced geometric principles accessible to mathematics enthusiasts.
Syllabus
0:00 Intro
0:49 Solving Triangles
3:14 When the Angle Isn't Right
5:40 Using Law of Cosines
7:05 Law of Sines
9:24 Using Law of Sines
13:41 Ambiguity
17:51 Conclusion
Taught by
Wrath of Math