Part 2 of proof of Heron's formula | Perimeter, area, and volume | Geometry | Khan Academy

Поделиться
HTML-код
  • Опубликовано: 22 окт 2024

Комментарии • 109

  • @getatme625D
    @getatme625D 8 лет назад +19

    Heron's a hero! Sal is the most patient being on the planet!!

  • @PivotSideEffects
    @PivotSideEffects 12 лет назад +21

    this made a scary amount of sense

    • @fsponj
      @fsponj 6 месяцев назад +1

      Yeah

    • @thanaa6401
      @thanaa6401 3 месяца назад

      I see no sense here just algebraic manipulation

  • @DynestiGTI
    @DynestiGTI 6 лет назад +31

    How did people work this stuff out 2000 years ago... boggles my mind!

  • @ad2181
    @ad2181 14 лет назад +3

    Excellent derivation to create the difference of squares, three times. Thanks for showing this Algebric trick for reductions.

  • @Heligoland360
    @Heligoland360 8 лет назад +6

    That was beautiful!

  • @saahilthukral
    @saahilthukral 11 лет назад +2

    Thank you so much Sal. It helped A LOT in my Math Research Paper!

  • @nisargsc.1
    @nisargsc.1 9 лет назад +7

    Thank you for this proof of Heron's formula

  • @kushshrivastava6894
    @kushshrivastava6894 6 лет назад +3

    Sir, you are great

  • @lomertamahon1
    @lomertamahon1 11 лет назад +1

    You got some talent. That was outstanding.

  • @nageshp4964
    @nageshp4964 3 года назад

    Please send part 1 of this.

  • @nickputkaradze1181
    @nickputkaradze1181 5 лет назад +3

    I haven't seen something as beautiful as this for a while.

  • @danrain12345
    @danrain12345 11 лет назад +2

    Mind = Blown

  • @OmerMan992
    @OmerMan992 6 лет назад

    WoW! I have never been that fascinated by mathematics. THANK YOU!

  • @carlossoto9511
    @carlossoto9511 10 лет назад +2

    beautiful!

  • @mehmetcanbicen12
    @mehmetcanbicen12 11 лет назад

    Thank you so much, that video was really useful for me and for my term project.

  • @trivugia1416
    @trivugia1416 3 года назад

    Wow amazing result

  • @niladrimukherjee8818
    @niladrimukherjee8818 2 месяца назад

    At first I thought that by this I can not find the area but after I saw the formula I got surprised about it that without knowing the angles also by its sides we can also find its area, really *maths is language of the universe*

  • @VineetKumar-uh4ut
    @VineetKumar-uh4ut 6 лет назад

    Amazing explanation sir!!
    Lost hope at commencement of video but gradually caught the idea of it..... wonderful!! Thanx😆

  • @lastminuteproductions691
    @lastminuteproductions691 Год назад

    O M F G!!! i was a little far behind on math in school from a vacation, and i came to watch how is the Herons Formula implemented, and i got stuck to the previous video and this one omg!!!!!

  • @andrewd3899
    @andrewd3899 10 месяцев назад

    That was beautiful.

  • @navindraarjunaabeyesekera7864
    @navindraarjunaabeyesekera7864 2 года назад

    Excellent

  • @TheOlgaStudio
    @TheOlgaStudio 7 лет назад

    Wow, that was truly helpful! Thank you so much

  • @A010795
    @A010795 13 лет назад

    So colourful...

  • @ifiaz
    @ifiaz 14 лет назад

    excellent explanation... nice work!!! keep it coming...!!!

  • @shivamramdhani8151
    @shivamramdhani8151 3 года назад

    Explanation🙏👍

  • @xigong4729
    @xigong4729 10 лет назад

    Awesome formular

  • @icommentfornootherreasonth8773
    @icommentfornootherreasonth8773 4 года назад +1

    its so beatiful that something i can understand so easily i would have never came up with myself. It isn't really complicated but the first person to discover it (heron) was a real genius

    • @mrhatman675
      @mrhatman675 4 года назад

      I mean these formulas basically came out by luck by playing with the numbers and already known formulas

    • @icommentfornootherreasonth8773
      @icommentfornootherreasonth8773 4 года назад +1

      @@mrhatman675 yeah thats what i mean!

  • @redsalmon9966
    @redsalmon9966 7 лет назад +9

    It also proofs that maths is beautiful

  • @AdityaPatel-yx2dk
    @AdityaPatel-yx2dk 8 лет назад

    This is awesome!

  • @sakshikumari5621
    @sakshikumari5621 4 года назад

    It was awesome🙃

  • @QuanNguyen-eg8zw
    @QuanNguyen-eg8zw 8 лет назад

    so much math its awesome

  • @eshansharma9458
    @eshansharma9458 2 года назад

    I am becoming good at math!! I prooved this thing myself on my notebook all my self!(here to check if I was wrong but I was not!)

  • @shreyaskumar7658
    @shreyaskumar7658 8 лет назад

    that was awe inspiring man great

  • @sankalpmishra5416
    @sankalpmishra5416 7 лет назад

    it is a brilliant" proving" site

  • @mrhatman675
    @mrhatman675 4 года назад

    This proof was huge!!!!

  • @danieldddddddvise
    @danieldddddddvise 11 лет назад +1

    What is that software you use? I need something like that as well, it could save me so much ink and paper :O

  • @MartianSpore
    @MartianSpore 14 лет назад

    Bravo good sir!

  • @PreCalculusRocks
    @PreCalculusRocks 13 лет назад

    That.. was... AMAZING! thanks alot! :)

  • @vikramdhimmar3895
    @vikramdhimmar3895 10 лет назад

    thanks

  • @neerajrattehalli9347
    @neerajrattehalli9347 8 лет назад

    Beautiful

  • @TheSheepyCell
    @TheSheepyCell Год назад

    Nice

  • @rishavbhagat9408
    @rishavbhagat9408 8 лет назад

    awesome

  • @andrewfeng3403
    @andrewfeng3403 7 лет назад

    elegant

  • @ShashiKant-cm8dw
    @ShashiKant-cm8dw 6 лет назад

    This proof is brilliant , outsanding
    But I want to ask you that ic this was prooved by heron or you yourself thought it
    If you thought it yourself,,you arebgreat sir

  • @111222333444R
    @111222333444R 13 лет назад

    Hairy but satisfying.... where have i heard that before?

  • @adventureboy444
    @adventureboy444 Год назад

    Wow. It's crazy how you can simplify stuff by overcomplicate it

  • @ritwikkanojia3655
    @ritwikkanojia3655 4 года назад

    This is the longest, most complicated, most genius proof I have ever seen

  • @MuiYuDoTheLoo
    @MuiYuDoTheLoo 6 месяцев назад +1

    hi

  • @aaaagggg7262
    @aaaagggg7262 7 лет назад +2

    Hello sire.
    Can you tell me which program that you use to write.
    Thank you for cooperation

    • @UnderscoreZeroLP
      @UnderscoreZeroLP 6 лет назад

      I assume you are not a native English speaker, here is a better version:
      "Hello Sir,
      Could you tell me which program you are using to write on the screen?
      Thank you"

  • @jerfersonmatos28
    @jerfersonmatos28 6 лет назад

    Legal cara, eu aprendo matemática ao mesmo tempo que melhoro meu inglês

  • @noelsojr
    @noelsojr 8 лет назад +5

    Yeah what fuck.. I love math

  • @asalad083
    @asalad083 14 лет назад

    Sal, you are the MAN.........:-)

  • @unoriginalusernameno999
    @unoriginalusernameno999 7 лет назад

    As Richard Feynman once put it: The mathematical laws of nature are not complicated. It's just a lot of it!

  • @HimanshJainYTube
    @HimanshJainYTube 13 лет назад

    hey i want to know that which software is you using for making the screen black and writing upon it with multi colours

    • @div_yam2304
      @div_yam2304 5 лет назад

      Paint with a black background works for me

  • @ahmedbaig7279
    @ahmedbaig7279 5 лет назад

    It was beautiful. Let me say that I am also prepared to present one presentation on Heron's Formula. Arecyou ready?

  • @austinmacintyre3697
    @austinmacintyre3697 6 лет назад

    Woah...

  • @someperson5137
    @someperson5137 5 лет назад

    How can anyone dislike this?

  • @chenadam6339
    @chenadam6339 7 лет назад

    Khan, How did you actually know how to algebraically manipulate the equation to the desired result?
    Just like 09:12 -b =a-2b ? I really want to know, or is it e procedure need to memorize? Thank you

    • @unoriginalusernameno999
      @unoriginalusernameno999 7 лет назад +5

      Its called creativity. Also called thinking out of the box. Maths is like a sandbox Universe in which you could throw and smash and create and destroy new blocks from existing ones. Once you start playing you could then just do about anything. That's why great Mathematicians aren't just mathematicians. They are sometimes artists. Sometimes they are good at sports. Some even play bongos! There is no memorising in Maths. The fundamental rules apply and they stay same throughout the Universe.

  • @gavenhollandsworth9201
    @gavenhollandsworth9201 9 лет назад

    so many variables!

    • @shreyaskumar7658
      @shreyaskumar7658 8 лет назад +2

      only three variables are there

    • @div_yam2304
      @div_yam2304 5 лет назад

      Not that many

    • @div_yam2304
      @div_yam2304 5 лет назад +1

      @@shreyaskumar7658 actually no x^2 and x are mathematicaly different variables

    • @shreyaskumar7658
      @shreyaskumar7658 5 лет назад +1

      @@div_yam2304 God, this was way back long. Anyhow, I think I am correct - if a function contains both x^2 and x, than they are simply giving different outputs for the same input.

  • @onesandzeroes
    @onesandzeroes 11 лет назад

    Crazy stuff. But it works! :-)

  • @redjr242
    @redjr242 12 лет назад

    For some reason RUclips won't let me type the up arrow so just imagine that the ampersand: & is the power symbol.
    sqrt(c&2 / 4) =
    sqrt(c&2) / sqrt(4) =
    c / 2
    Therefore sqrt(c&2 / 4) = c / 2.

  • @danialdunson
    @danialdunson 6 лет назад

    these videos without sound are great

  • @danielche2349
    @danielche2349 11 лет назад

    what you just said was the same thing that this kid in my geometry class says a lot. is that you?!! O.o

  • @danielche2349
    @danielche2349 11 лет назад

    from his last video.

  • @PivotSideEffects
    @PivotSideEffects 12 лет назад

    how dose he operate the calculator?

  • @prosoftenterprises
    @prosoftenterprises 13 лет назад

    @Pctech4uproductions He is using Paint since ,you can see multicolor but he doesn't show the toolbar above.

  • @biplobhimu
    @biplobhimu Год назад

    😮

  • @xyliahvortex661
    @xyliahvortex661 3 года назад

    Take a shot every time he says "squared"

  • @rajvirmanku1216
    @rajvirmanku1216 5 лет назад

    I

  • @jetpaq
    @jetpaq 11 лет назад

    that algebra had a BIG foot suit on! HAHAHA!! but it was so AWeSOME! man this guy is unbelievably smart!

  • @hellfigter12345
    @hellfigter12345 12 лет назад

    How can c^2/4 = c/2 ? pliz help :)

    • @chesslover1768
      @chesslover1768 7 лет назад

      hellfigter12345 it's quite simple=>
      c/2 =c /2
      =>(c/2)^2 = (c/2)^2
      =>(c/2)^2 = c^2/4
      =>c/2 = √(c^2/4)
      Proved!☺☺

  • @danielche2349
    @danielche2349 11 лет назад

    and this one.

  • @aaa_ron
    @aaa_ron 2 года назад

    Thank you, I have brain damage jk nice video made a lot of sense still don't get how people have this amount of creativity

  • @123lol1234know
    @123lol1234know 14 лет назад

    wow haha thanks... i just earn 20 extra credit from watching this ^^
    thanks lol nice job

  • @jonas59222
    @jonas59222 10 лет назад +4

    Trying to tell myself, that someday I might understand this...

  • @aguyontheinternet8436
    @aguyontheinternet8436 2 года назад

    AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

  • @kubyoindiya3269
    @kubyoindiya3269 Год назад

    C L A S S I C 😂

  • @SEnergyable
    @SEnergyable 11 лет назад +1

    cool, now let's find a job where I'll calculate the area of triangles all the time and I'm fine..

    • @strategen9124
      @strategen9124 6 лет назад

      SEnergy engineering, and life (if you are a curious person who wants to understand geometry of common mathematical objects found in this amazing nature that we humans happened to be in) :)

  • @akshatrakesh69
    @akshatrakesh69 Год назад

    too many vars...

  • @Sooper35
    @Sooper35 12 лет назад +1

    Holy shit that was beautiful. CitizenKaneClapping.gif

  • @scriptkiddie7485
    @scriptkiddie7485 8 лет назад +1

    so you are not simplifying it at all, just writing it in a way that looks simpler...
    so I guess you are simplifying it

  • @GndmMkv
    @GndmMkv 14 лет назад

    this proof is so LONG!!!

  • @manishjois5538
    @manishjois5538 9 лет назад

    Very nice.

  • @RealMcDudu
    @RealMcDudu 6 лет назад

    excellent

  • @michaelsharpe5112
    @michaelsharpe5112 7 лет назад

    very impressive

  • @SkSk-so8nm
    @SkSk-so8nm 4 года назад

    Sir you are great