Pyrofessor Polya is not kidding. Consider this: What’s the side of a square inscribed inside a triangle?
You’re reading through his ruminations of how to learn math, and how to generalize ideas, and such niceties when all of a sudden he takes out this mallet. Dude is not kidding. We be solving problems. After 22 diagrams and a close flyby past the solution, it turned out he was just asking for a method of construction.