AM-GM from 8 Triangles @MathVisualProofs

Uploaded May 2026 | Updated September 2026, 2 weeks ago

AM-GM from 8 Triangles

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.

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).

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For other visual proofs of this fact see:

youtu.be/Pt8IX_Q5U1A
youtu.be/62G9fak1vyk
youtu.be/HFGSsPbYc-s
youtu.be/SEPkdPWKdO0
youtu.be/jNx05gXSblE
youtu.be/IJGwvvQdfgg

#mathshorts #mathvideo #math #amgminequality #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #inequality #arithmeticmean #geometricmean

To learn more about animating with manim, check out:
https://manim.community

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