Inequalities of a Triangle

The video tutorial explores the concept of triangle paths, focusing on the shortest route between points. It introduces the triangle inequality theorem, explaining that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The video also covers types of triangles, such as equilateral, isosceles, and scalene, and discusses theorems related to angles and sides. An example problem is solved to demonstrate these concepts, and the session concludes with a call to action for viewer engagement.

Describe theorem 2 regarding the relationship between angles and sides in a triangle.

What does theorem 3 state about the sides of a triangle?

How can you prove that PQ is greater than PT in triangle PQR?