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 […]
How to Find Distance and Midpoint of Complex Numbers?
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 ones you already use in coordinate geometry. The distance between two complex numbers is the absolute value of their difference, and the midpoint […]
