AM-GM Inequality II

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

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[thedude]

Really nice use of Thales theorem, Kudos!

[afif]

Both the visualization and your explanation were succint and easy to understand. Great use of a minute!

[Shrutithenerd]

What a stunner visualisation, great job!

[Acharya_Slideshare]

You clearing my concept which was never cleared by any teachers

[boredd]

If only there was this nice of a proof for the general case...

[anukriteenegi]

I think I am going to remember this proof for the rest of my life. Thanks :)

[edwinsanchez]

I love maths and I can tell you that this is the best video I saw today.

[souravdiwan]

Really really nice video...the explanation is so great and intuitive ❤

[jOFOF]

thank you this is the most useful wheni have doubt about this inequality

[tamirerez]

You could also draw a complete circle and continue down the cord z until it crosses the circle.
According to the cords' theorem a•b=z•z
and therefore z = √a•b

[paolocaruso]

Yess…also they are equal to sqrt(xy) for the 2nd Euclid theorem

[mananagrawal]

You can do this with trapeziums too. There is also a way here to get the HM and RMS inequalities.

[vaisakhsnamboothiri]

Excellent, now never have to memorise this formula

[Generalist]

But this is only the special case, but still beautiful visual

[piyushsonekar]

Got the proof but when we will use this ? when is the right time?

[ZEPHYRZHANG-mgzi]

can you extend this with more x's and y's?

[ZEPHYRZHANG-mgzi]

This is the intersecting chords theorem right?

[nidhiaggarwal]

how you made it? means video editing,
my son wants to make one for his school project

[ShootNowAskLater]

I understand none of this. Time to open the books again 😔