Let A = (x1,y1), B = (x2,y2), and C = (x,y) be three collinear points in the Euclidean Plane with x1<x2. Prove that A-C-B iff x1<x<x2.© BrainMass Inc. brainmass.com February 24, 2021, 2:23 pm ad1c9bdddf
If C is between A and B, then AC+CB=AB. So (AC+CB)^2=AB^2, we have
This implies ...
A proof involving collinear points is provided and the details are provided.