AM-GM Inequality III (visual proof)

This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using algebraic areas and the Side-Angle-Side formula for a parallelogram. #mathshorts​ #mathvideo​ #math​ #amgminequality #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #inequality For other visual proofs of this fact see:    • AM-GM Inequality II (visual proof)      • Visual Proof of AM-GM Inequality I      • Mean Inequalities (visual proof of AM-GM, ...   For a nearly identical visual proof of another inequality (Cauchy-Schwarz) see    • Cauchy Bunyakovsky Schwarz Inequality I (v...   This animation is based on a visual proof that appears in Icons of Mathematics by Claudi Alsina and Roger B. Nelsen (MAA, 2011): (I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S To learn more about animating with manim, check out: https://manim.community _______________________________________ Music in this episode: Beginning of Conflict by Rafael Krux (https://freepd.com/).