Can you find lenght of line PS? | (Fun Geometry Problem) |

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  • Опубликовано: 30 янв 2025

Комментарии • 9

  • @jean-pierregruyer4295
    @jean-pierregruyer4295 Месяц назад +1

    Rien ne prouve que a =3 😢

  • @matthieudutriaux
    @matthieudutriaux Месяц назад +4

    Wrong Exercise !!!
    The drawing of your video corresponds to a particular case : a=6/2=3 m
    Particular case when the distance "a" of "overlapping sides" is equal to half of the side length of the squares.
    General Case :
    PS=(3*6)/sqrt(2)+(2*(6-a))/sqrt(2)
    PS=9*sqrt(2)+(6-a)*sqrt(2)
    PS=(15-a)*sqrt(2) is the answer.
    At 1:02, in your drawing, we see that :
    [bottom-right side of first left square] is on the same line (PR) that [top-left side of the third right square]
    This is a particular case when 6-a=a
    @MathandEngineering, you choose a particular case : a=6/2=3 m. Then, your answer is :
    PS=(15-3)*sqrt(2)=12*sqrt(2)=24*1/sqrt(2)=16,9706 m on average
    In reality, PS depends on the value of distance 'a" :
    0 < a < 6 then :
    9*sqrt(2) < PS < 15*sqrt(2)

    • @MathandEngineering
      @MathandEngineering  Месяц назад

      Ok friend this is not a Wrong Exercise, it's actually correct, I agree with you if you meant to say, I didn't explicitly mention that a is half the length of the side of the square, but the figure is correct I did all the measurements, and I can assure you that a is half the side of the square.
      Your answer is perfect 💯 but it doesn't contradict the one in the video, you did the solving with out considering the value of a,
      PS = 16.9704 only validates
      12.7279

    • @matthieudutriaux
      @matthieudutriaux Месяц назад +3

      @@MathandEngineering
      You should have explicitly mentioned that "a" is half the side length of the square : a=6/2=3 m

    • @MathandEngineering
      @MathandEngineering  Месяц назад +1

      Ok friend thanks, I'll do that

  • @santiagoarosam430
    @santiagoarosam430 Месяц назад +1

    Diagonal del cuadrado propuesto =d=6√2 → Si prolongamos los lados de los tres cuadrados hasta que corten a PS, vemos que PS=2*d =2*6√2 =12√2 ≈16,97 m.
    Buen puzle. Gracias y un saludo.

    • @MathandEngineering
      @MathandEngineering  Месяц назад

      Yes friend this is an excellent solution, thanks for sharing

  • @marioalb9726
    @marioalb9726 Месяц назад +2

    L = 4*6*cos45° = 24/√2
    L = 12√2 m ( Solved √ )