An Odyssey Through Distance and Midpoint Formulas in the Plane
TL;DR: Drop two points on a coordinate plane and two questions usually follow, how far apart are they, and where is the spot exactly between them? For distance, you square the gap in x, square the gap in y, add them up, and take the square root. It is the Pythagorean theorem wearing coordinate clothes. […]
How to Find Distance and Midpoint of Complex Numbers?
Treat complex numbers as points on the complex plane. Their distance is the modulus of their difference; their midpoint is their arithmetic mean. TL;DR: Here’s the secret about complex numbers: a + bi plots as the point (a, b) on a regular-looking plane. Once you see that, distance and midpoint formulas feel exactly like the […]
