TED-Ed: Daniel Finkel: Can you solve the unstoppable blob riddle?

A hideous blob threatens the planet, growing rapidly and unstoppable by conventional means. However, it has a vulnerability: when it sleeps, it forms a triangle. By cutting the blob into acute triangles, it can be rendered inert. The challenge is to make these cuts efficiently before the blob wakes up. The solution involves cutting the blob into a pentagon and then into five acute triangles, saving the planet.

What is the significance of the acute triangle portion of the blob?

Explain how the concept of cutting a pizza relates to solving the blob problem.