So it’s not really about right triangles - it’s about comparing “things” moving at right angles. The Pythagorean Theorem lets you use find the shortest path distance between orthogonal directions. Moving North does not change your East/West direction, and vice-versa - the directions are independent (the geek term is orthogonal). Movement in one direction has no impact on the other. Well, a key observation is that a and b are at right angles (notice the little red box). If it can be measured, it can be compared with the Pythagorean Theorem. It’s about any distance, like the “distance” between our movie preferences or colors. It’s not about distance in the sense of walking diagonally across a room. It’s not about a, b and c it applies to any formula with a squared term. It’s not about triangles it can apply to any shape. We’ve underestimated the Pythagorean theorem all along.
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