AM-GM Inequality VI (visual proof)

This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using 8 triangles arranged in a famous shape for visual proofs. #mathshorts​ #mathvideo​ #math​ #amgminequality #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #inequality #arithmeticmean #geometricmean

For other visual proofs of this fact see:

This animation is based on a visual proof from Ayoub B. Ayoub that appeared in the Spring 1997 issue of Mathematics and Computer Education (vol 31, no 2 p191).

To learn more about animating with manim, check out:

[mathflipped]

Great visualization, as always. I also like your videos better with the voiceover, which explains what is going on.

[agastyavalisetty]

this is amazing lol ngl i proved it in an algebraic way in school but this is makes a lot more sense

[hegdesughosh]

Yeah We got it
(a+b)/2 >√ab
Now six proof is enough 😂