AM-GM Inequality II (visual proof)

This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using Thales theorem . #mathshorts​ #mathvideo​ #math​ #amgminequality #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #calculus #inequality

To learn more about animating with manim, check out:
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Background music, used according to CC BY-SA 3.0, is "The Road" from Esteban Orlando:

Esteban Orlando:

[SeanSkyhawk]

I see a lot of these proofs that rely on Thales' triangle theorem, but NOT a video that specifically proves it on this channel. I feel that a simple visual proof video of Thales' triangle theorem is warranted

[terencekuhl]

great proof really helped me understand it

[evoov]

Holy shit thats Plato's Divided Line. I was watching this philosophy lecture on Allegory of the Cave. The teacher did exactly that.

[jyotidalmia]

But how are the two triangles similar? I understood that the angle in the semicircle is 90 degree but not after that

[energy-tunes]

great but not sufficient in general case