A Visual Proof of the Pythagorean Theorem

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  • Опубликовано: 7 дек 2020
  • Here we have two big square geometric patterns. On the left side of the screen, there are four triangles arranged as adjacent pairs. On the right side of the screen, there are four triangles arranged in a different way.
    Because both arrangements have the same total area (left big square = right big square), and both arrangements have four identical triangles, the area in each arrangement which isn't triangles must be equal. On the left side, this area is the sum of a^2 and b^2. On the right side, this area is c^2. Therefore, a^2 + b^2 = c^2.
    This proof works for all right triangles. Any a/b ratio fits in this square diagram, so the concept holds regardless of the shape of the right triangle. Since the overall size of these diagrams doesn't matter, the proof is true for triangles of any size. Any shape, any size = for any right triangle, must be true that a^2 + b^2 = c^2.

Комментарии • 9

  • @WEPayne
    @WEPayne Месяц назад +1

    Beautiful !

  • @SRAVANAM_KEERTHANAM_SMARANAM
    @SRAVANAM_KEERTHANAM_SMARANAM 3 года назад +4

    Sir What software did you use to create this animation

  • @mortenrl1946
    @mortenrl1946 Год назад +4

    Your tungsten review has a million views on another dude's channel lol (jeaney collects)

    • @Ruktiet
      @Ruktiet 2 месяца назад

      Funny that you actually looked him up

  • @korigamik
    @korigamik Год назад +1

    Can you share the code for this animation?

    • @RichBehiel
      @RichBehiel  Год назад

      I wish I could, but unfortunately I lost the code.

    • @korigamik
      @korigamik Год назад

      @@RichBehiel Oh, no worries. But do you keep a repository of all the code from the animations in you videos?

  • @angelamusiemangela
    @angelamusiemangela 2 месяца назад

    Il teorema ed, è bellissimo di questi quadri sono i punti cardinali dei due quadrati , che nelle loro folate , che i Successione si chiamano Follie' che si incontrano con il punto centrale che ripeto si chiama Folata fanno la prima Folata il soffio di Vento di calcolo che si chiama Prof in inglese. E sono quattro bacini ok!😘😘😘😘