01 - The Distance Formula, Pythagorean Theorem & Midpoint Formula - Part 1 (Calculate Distance)

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  • Опубліковано 6 сер 2024
  • More Lessons: www.MathAndScience.com
    Twitter: / jasongibsonmath
    In this lesson, you will learn that the distance formula in algebra really comes from the pythagorean theorem. We will show how to find the distance between any two points in the xy cartesian plane using the distance formula.
    The midpoint formula is used to find the mathematical point midway between two end points of a line segment. The pythagorean theorem is is a relationship between all three sides of any right triangle. We show how to use the pythagorean theorem by solving example problems.

КОМЕНТАРІ • 66

  • @wisdomnwannah4332
    @wisdomnwannah4332 4 роки тому +32

    If only all maths teachers were like this 😔, this man deserves much. Thanks a lot teacher, you explained more that my maths teacher could.

  • @fesseha1071
    @fesseha1071 2 роки тому +2

    Do you know how a Gem you are? All these years they were giving us the formula without understanding what these formula stand for or what they mean. But you just resurected the math in me. Thank you so much.

  • @yasir6347
    @yasir6347 2 роки тому +1

    math and science is the best math lesson I have ever watched, I'm getting better
    now.

  • @borntobeaqueens8341
    @borntobeaqueens8341 4 роки тому +6

    Education should be free thank you. Although I took algebra in HS I was never good at it because the public school system failed me. Now I'm re-learning everything I took in HS so I can teach my sister. This helped a lot and again thank you.

  • @opdragon8069
    @opdragon8069 2 роки тому +7

    Heres a time stamp if you immediatly want to learn more about the distance formula 14:23

  • @commanderbensisko
    @commanderbensisko 4 роки тому +3

    Maths teacher of the century!
    In the midpoint formula section, you denoted the average of the x points as x2-x1/2 and similar for y.
    Please help me to understand why it's not x2+x1/2 especially as later in the section when you write out the M formula, you actually do use M = x1+x2/2 and y1+y2/2.
    By the way ....
    Great work. Thank you so much. I discovered your videos last weekend and I have sat through and made notes on a number of them since. Your willingness to help people understand rather than memorise is helping me tremendously in my robotics ambitions. I was struggling really badly to understand the necessary maths until I found your work. If only they were available when I was actually taking my course :-)

    • @MathAndScience
      @MathAndScience  4 роки тому

      Thanks so much! Can you give me the exact timestamp where I said and wrote down whatever confused you about the midpoint formula so I can take a look?

    • @oscarjrdepamaylo3673
      @oscarjrdepamaylo3673 3 роки тому +2

      29:28 sir. You said the x2 - x1 is the midpoint of x, but at the formula, why it was x1 + x2? Thanks

  • @Dark-ds2ej
    @Dark-ds2ej 9 місяців тому +2

    Wherever you teach, your students are so lucky sir.

  • @kw0s
    @kw0s 4 роки тому +4

    I am s senior citizen right now and this brought back a long distance memory.

  • @zaraadler2376
    @zaraadler2376 4 роки тому +4

    Your channel is a treasure, Jason!

  • @financialservicesprofessio7377
    @financialservicesprofessio7377 6 місяців тому

    Thank you for the comprehensive explanation.

  • @paulmaggiar8274
    @paulmaggiar8274 2 роки тому +5

    Thank you, very clear and informative. Just one thing, in the diagram for the midpoint formula you wrote X2 minus X1 divided by 2. The same for Y. Was that a slip of the marker, or am I missing something here.

  • @lisamccray6481
    @lisamccray6481 2 роки тому +1

    To this math teacher.... CHEERS!!!! Bottoms up! (It's just some lemonade).

  • @user-tn4mr8co5v
    @user-tn4mr8co5v 2 роки тому +4

    I think the midpoint formula is written little bit wrong first time.
    You wrote minus in between them instead of plus.

  • @JFKDallas
    @JFKDallas Рік тому

    you always help so much. thank you!

  • @kaitshipp12
    @kaitshipp12 4 роки тому +6

    Thank you for making these videos.

  • @TheCarloslucerna
    @TheCarloslucerna 3 роки тому

    Really good video!

  • @mwilamakungu3362
    @mwilamakungu3362 Рік тому

    Great teacher!

  • @gm9262
    @gm9262 2 роки тому +1

    Excelent video however I saw couple of people a little cobfused because you said that distance formula is a subtraction (and you draw it) but later you say that is the average (so basically x1+x2/2. I believe it is the 2nd that is correct, right? Anyway, aside from that typo you are an excellent teacher, i love your videos, I tried to refresh my memory to help out my kid with math. Thanks so much for posting your videos!

  • @bushtherapy7655
    @bushtherapy7655 Рік тому

    Thanks for great explanation

  • @carrissaviadnes755
    @carrissaviadnes755 3 роки тому +2

    a. Use the Pythagorean Theorem to write an equation giving the relationship
    between 𝑙 and 𝑥.
    b. Find the distance from the boat to the deck when there is 75 feet of the rope
    out

    • @carrissaviadnes755
      @carrissaviadnes755 3 роки тому

      A winch is used to tow
      a boat to a deck. The rope is
      attached to the boat at a point
      15 feet below the level of the
      winch.
      1

  • @Thereal_Fareedah
    @Thereal_Fareedah 2 місяці тому

    Thank you so much

  • @stonkystyle2438
    @stonkystyle2438 2 роки тому

    Helping me on my angle classifying quiz

  • @santoshsharma-or4zu
    @santoshsharma-or4zu 2 роки тому +2

    These equations only apply on a flat plane, right ?(Btw, good lesson. It would be slightly more helpful if you added links to the video of the next lesson.)

  • @IsraelKelly-hh4wy
    @IsraelKelly-hh4wy Рік тому

    Excellent

  • @a.sathyajothi2580
    @a.sathyajothi2580 Рік тому

    Thanks a lot👍🏻💐

  • @joumanaswailem6245
    @joumanaswailem6245 7 місяців тому

    YOU'RE AMAZINGGGGGG

  • @vford1000
    @vford1000 4 роки тому

    Excellently explained

  • @Its.namnam813
    @Its.namnam813 Рік тому

    thank you sir

  • @hilllanza
    @hilllanza 4 роки тому +2

    Thank you for the video 👍👍👍.

  • @simpleman283
    @simpleman283 2 роки тому

    for personal ref. 18:28 square root of both sides/ +&- sign in front of radical.

  • @koxukoshu
    @koxukoshu 4 роки тому +1

    thank you so much

  • @khaliltattlah8111
    @khaliltattlah8111 3 роки тому

    Well sir

  • @nextblip
    @nextblip 4 роки тому +1

    I can't find part 2 of this video

  • @geraldjello9149
    @geraldjello9149 Рік тому

    U the goat

  • @samuelsuweea.g.3594
    @samuelsuweea.g.3594 Рік тому

    Thank you! l do wish to be your discipline!!!

  • @geetagupta486
    @geetagupta486 3 роки тому

    How can I draw the 1 9 11 triangle please?

    • @jonwill
      @jonwill Рік тому

      Not possible. The sum of any two side's lengths must exceed the length of the 3rd side. Reference: Triangle inequality theorem.

  • @nestorsantiago28
    @nestorsantiago28 2 роки тому

    I learned brief math now.

  • @lisamccray6481
    @lisamccray6481 2 роки тому

    Dear Sir , A teacher said that 2 squared is not the same thing as (2)^2 . The parentheses mean there's a distinction that needs to be made.. If you could address this in a video or just a response. Link ...

    • @eccentricaste3232
      @eccentricaste3232 11 місяців тому

      2 squared is 2×2. 2^2 is 2×2.

    • @eccentricaste3232
      @eccentricaste3232 11 місяців тому

      Squared means that the exponent is 2. 5 squared is 5² =25 or 5 × 5. 10 squared is 10²=100

  • @juiabedin370
    @juiabedin370 3 роки тому

    Why is not (x1-x2) or (Y1- Y2) ?

    • @yuna_jeong14
      @yuna_jeong14 2 роки тому

      Its the same (x1-x2)+(y1-y2) or (x2-x1)+(y2-y1) the answer is the same

  • @arkib1514
    @arkib1514 4 роки тому +2

    🤩

  • @TreasureHuntersPhil
    @TreasureHuntersPhil 3 роки тому

    Wow

  • @georgettebeulah4427
    @georgettebeulah4427 4 роки тому

    This distance formula explains so much I really understand it.😶😑🙄

    • @itsmeeee8878
      @itsmeeee8878 3 роки тому +4

      if you dont like his vids THEN LEAVE why bother to what and say stuff like this when we dont care!!

  • @basilrex4105
    @basilrex4105 3 роки тому

    lucid explanation

  • @wajakjijiri3493
    @wajakjijiri3493 4 роки тому

    Why is the Pythagorean formula in square?, I mean, why did he square it? Why not 'a+b=c' rather 'a²+b²=c²'.
    Thank you.

    • @moonson8804
      @moonson8804 4 роки тому

      Think of it this way, imagine a square is drawn on side A, side B and side C, now the total sum of the squares made on side A and B will equal the square made on side C, you then find the square root of C to find the length of the hypotenuse

    • @wajakjijiri3493
      @wajakjijiri3493 4 роки тому

      @@moonson8804 Thank you very much, Sir.

    • @moonson8804
      @moonson8804 4 роки тому

      @@wajakjijiri3493 glad to help

  • @djeclipselive
    @djeclipselive 2 роки тому

    Dancing machine