AM-GM Inequality III (visual proof)

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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:

For a nearly identical visual proof of another inequality (Cauchy-Schwarz) see

This animation is based on a visual proof that appears in Icons of Mathematics by Claudi Alsina and Roger B. Nelsen (MAA, 2011):

To learn more about animating with manim, check out:
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Does anyone know how many different proofs of this inequality there are? I lost count :)

mathflipped