A google and amazon interview question with a really clever solution

The video explores the probability of forming a triangle by randomly cutting a stick at two points. It introduces Viviani's theorem, which states that the sum of perpendicular distances from any interior point to the sides of an equilateral triangle equals the triangle's height. This theorem is applied to the stick problem, showing that only one of four possible regions allows for a triangle to be formed, resulting in a 25% probability. The video concludes with a practical application of this geometric concept.

What new insight or understanding did you gain from this video?