What is the Pythagorean Theorem? - Calculate Pythagorean Theorem Formula - [8-8-1]

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  • čas přidán 22. 06. 2022
  • More Lessons: www.MathAndScience.com
    Twitter: / jasongibsonmath
    In this lesson, we will learn what the pythagorean theorem is and how to calculate the sides of a right triangle using Pythagoras Theorem. The Pythagorean theorem formula is used to find any side of a right triangle given the lengths of the other two sides. The pythagorean theorem is used in many subjects and forms the basis for trigonometry, as the sine and cosine functions are projections on the unit circle and can be found by calculating using the Pythagorean theorem.

Komentáře • 140

  • @delstanley1349
    @delstanley1349 Před 2 lety +4

    Einstein is prominently mentioned here. However, when it comes to the Pythagorean Theorem the "great brain" that I first think of from childhood is the Scarecrow of "The Wizard of Oz." He formerly had "no brains," only straw was in his head, but once he was endowed with brains by the Great Oz himself he received a diploma, an honorary PhD in "Thinkology." To prove his new found brain power the Scarecrow thought he would recite the Pythagorean Theorem as follows:
    "The sum of the square ROOT of ANY TWO sides of an ISOSCELES triangle is equal to the square ROOT of the REMAINING side." That is certainly different from the above lesson, ha ha!
    I don't know if the script writers intended to make these goofs or just didn't know any better, but I didn't know that then. And I doubt any math students (or most adults) would have known about sarcasm if that was the case. Sounded good to me then! After all, he had a fresh doctorate degree! Good thing I wasn't taking any notes and use the Scarecrow as a math lesson model. Anyway, I just can't get the Scarecrow out of mind re this theorem!

  • @jcmc1693
    @jcmc1693 Před 2 měsíci +1

    Great way to come at it! Thanks for applying space and time. It helped.

  • @markprange4386
    @markprange4386 Před 2 měsíci +1

    It's in Special Relativity, civil engineering, electrical engineering, surveying, astronomy, and aviation.

  • @60NXNP09
    @60NXNP09 Před 2 lety +1

    The best explanations of the Pythagorean theorem I've seen.

  • @KayleeK0018
    @KayleeK0018 Před rokem

    wow you are a great teacher. The visual way of teaching and in depth explanations really help me to understand! Thank you!!

  • @Big_time_949
    @Big_time_949 Před 3 měsíci +1

    Wish I had a math teacher like him when I was in high school

  • @brianbauer3148
    @brianbauer3148 Před 4 měsíci +1

    One thing I always struggled with in school was they would give the formulas and I would ask why the formula works They would just tell me it does and then I didn't need to worry about why. It is one of the biggest struggles I have had learning. Once I have the why it comes together easily.

  • @raghavsirprsmurthyphysics898

    I love your classes sir!! You are awesome!!

  • @mikedavide8613
    @mikedavide8613 Před rokem +2

    Thanks i am not struggling in maths anymore I am watch maths and science just watch how he teaches in maths ,chemistry,engineering,and physics he is amazing thanks

    • @mikedavide8613
      @mikedavide8613 Před rokem

      And people just watch how he teaches its amazing just watch

  • @mumtazhamid
    @mumtazhamid Před 2 lety +1

    One of the Best teacher..

  • @bob-ny6kn
    @bob-ny6kn Před rokem +2

    My trig class were allowed to have one "cheat sheet" of hand written formulae, no reduced photocopies. Everyone spent hours writing every formula (which was the instructor's intent). I used one index card with, "c^2 = a^2 + b^2", which made the instructor pause and give me a smile. I only earned the second highest score. We were both pleased.

  • @Little.Flowerbloom
    @Little.Flowerbloom Před rokem +1

    such an amazing teacher, bless your heart sir thank you.

  • @samirayadgar8197
    @samirayadgar8197 Před 2 lety +1

    You are right, they never said what anything in any area of math was good for!

  • @samburdge9948
    @samburdge9948 Před 2 lety

    Love your work.........triangles certainly can have negative lengths on the cartesian plane et cetera.........gods bless you........I'm quite poor, but if I ever have any money I'm going to buy all your work, whether I need it or not........gods bless you

  • @tresajessygeorge210
    @tresajessygeorge210 Před 8 měsíci +1

    THANK YOU... SIR...!!!

  • @paulajleal
    @paulajleal Před 2 lety

    Well now I’ll old enough to want to learn and this was really interesting!!! As a beginner where do the lessons you have start?? My sentence came out all wrong

  • @coastic1849
    @coastic1849 Před 2 lety +1

    Hey! Is the chemistry course you’ve been uploading recently (I think the last one was 1-1-3) going to continue? I really enjoy your simple explanations of chemistry. Thanks!

    • @MathAndScience
      @MathAndScience  Před 2 lety +1

      Yes there will be more coming. Next lesson next Tuesday!

  • @harlanshafer3429
    @harlanshafer3429 Před 2 lety

    This makes me think of celestial navigation. That would be a fascinating course for you to teach. All pretty much based on this subject, only more involved. But not that Hard. Please consider it.

  • @bradfordchiluka1278
    @bradfordchiluka1278 Před rokem

    Great teaching

  • @frizzyred1292
    @frizzyred1292 Před 2 lety +2

    lol Jason, I was watching some of your older Algebra videos from way back that I purchased and its amazing, its like two different people, you are alot more quiet in your manner back then, you are much more outgoing in these videos. What I really enjoy from your teaching method is that you go and show how the theories are applied in other manners like in this example taking the square and showing how its actually the area of an actual square! Neat little things like this is what seperates you from the other education videos on here.

    • @MathAndScience
      @MathAndScience  Před 2 lety +2

      Thank you so much! Yeah I’m a bit louder for for sure. In those early videos there was usually a baby sleeping in the other room. Thanks So much for your nice comment! I really want to try to show what things are used for because I think that’s what I’m missing most of the time in lectures. If I knew back in the day with the stuff is used for I probably would’ve been a lot more interested.

    • @namedrop66
      @namedrop66 Před 2 lety

      @@MathAndScience Hey, its me, the flat earth joke guy, when are you making more EE videos. We need signals, controls, emf, modern power, digital power, and machines. While they are a TON of people doing this on YT, they are either out of the scope, too easy, or do not explain well. Make us better Mr. J. BTW, your AC power videos are pretty dope. Best out there.

  • @shobarani4160
    @shobarani4160 Před 2 lety +1

    Sir ,
    Please explain vector and its applications pls
    😊

  • @angelasy1976
    @angelasy1976 Před 2 lety +1

    How will you know if you have a problem that requires you to use the Pythagorean therom?

  • @MYfriendsknow
    @MYfriendsknow Před rokem

    Wonderful !!!

  • @waitforupdate8051
    @waitforupdate8051 Před 11 měsíci +1

    Awesome .. ❤

  • @froggy41046
    @froggy41046 Před 2 měsíci +1

    Thanks bro

  • @samburdge9948
    @samburdge9948 Před 2 lety

    Is there a convention that you bring the square root over the number at the end of the square root sign on its right side........or is it a personal convention/mannerism.......gods bless

  • @valleharley71
    @valleharley71 Před 9 měsíci +1

    thanks

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    c squared =25 is total sum of squared a + b squared

  • @lakshmig5852
    @lakshmig5852 Před 2 lety

    Sir a request to make videos on semiconductor devices and operations

  • @buiminhmusic2935
    @buiminhmusic2935 Před rokem +1

    Thank for pricinple of triangle where no one share the secret bebind me before.

  • @SingerAtoz
    @SingerAtoz Před 2 lety +3

    Sir please teach Einstein general relativity theory.

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    measuring angle starts in the right

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    right angle 90 degrees

  • @arturosalvador319
    @arturosalvador319 Před 2 lety

    Can you explain sin 90 n cos 90 in a way easy to understand?of right triangle

  • @samuelappiah4561
    @samuelappiah4561 Před 2 lety

    Please l have started watching your videos. I appreciate your help to students. Please what is the different between your CZcams video and online purchase learning. video.

  • @Emoxical1
    @Emoxical1 Před rokem +2

    Wait, so if I draw a right triangle, DOES THAT MEAN IM DRAWING THE UNIVERSE?!?!!?!?

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    a squared+b squared =c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    right triangle

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    3 squared + b squared= c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    a squared +b squared

  • @charlesankomah1307
    @charlesankomah1307 Před 2 lety

    Sir pls listen to my question and help me answer it. It says, A ladder leans against a wall. The end of the ladder touches the wall 12m from the ground. The foot of the ladder is 9m away from the foot of the wall.
    Calculate the angle that the ladder makes with the ground

    • @simpleman283
      @simpleman283 Před 2 lety

      Inverse tangent function 12/9 = 53.13 degrees

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    121+36=169

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    2 squared+4 squared=c squared

  • @lakshmiprasanna192
    @lakshmiprasanna192 Před 2 lety +1

    Hi sir, my son coming to 5th grade so can u teach 5th grade math plz

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    rt a=3 b=4 c

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    4.2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    157=169

  • @joshgabriel1063
    @joshgabriel1063 Před 9 měsíci +1

  • @hemarajue2736
    @hemarajue2736 Před 2 lety

    What does it mean that space and time is dead in black holes?

    • @MathAndScience
      @MathAndScience  Před 2 lety +2

      Well it means that the curvature of space and time are so high that our theories break down. So we don’t know exactly what happens at the singularity inside a black hole. When I say our theories break down what I mean is they start calculating infinity for everything which we know can’t be right.

    • @hemarajue2736
      @hemarajue2736 Před 2 lety

      @@MathAndScience if a man happens to live in black hole, he should live for ever since time is dead there!

    • @MathAndScience
      @MathAndScience  Před 2 lety +1

      @@hemarajue2736 That sounds like fun however the problem is inside of a black hole the curvature causes gravity to be so strong that everything gets ripped apart. So he would be ripped apart before he got near the center :-(

    • @hemarajue2736
      @hemarajue2736 Před 2 lety

      @@MathAndScience I think the gravity differs at each place on earth because of curvature of the earth.

  • @peaceofpk
    @peaceofpk Před 2 lety

    👍

  • @lakshmiprasanna192
    @lakshmiprasanna192 Před 2 lety

    Can u teach math and science for 5th grade

    • @MathAndScience
      @MathAndScience  Před 2 lety

      Yes I have a complete 5th grade curriculum. Please visit MathAndScience.com. I also have many lessons on CZcams.

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    4/4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    144+81=c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    /16+4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    line a is short than b

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    line b is short than line a

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    25

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    equal angle

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    20

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    4+16=c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    formula

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    c squared=4.2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    9+16=c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    20=c squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    16+4

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    unequal length

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    c squared=15

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    74=64

  • @samburdge9948
    @samburdge9948 Před 2 lety

    Hope you are using other platforms........homeschooling is increasing in popularity.........have you ever thought about a monthly subscription service.........even with a relatively low subscription base and a low monthly rate you would make bank on material you have already made........5 dollars a month.....10,000 users........baller....lol........wish you much success and even more

    • @MathAndScience
      @MathAndScience  Před 2 lety

      Thanks so much. Yes please visit www.MathAndScience.com

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    c squared =5

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    36+64=100

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    a=7 b=5 c=8

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    a=2 b=4 c

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem +1

    unequal

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    a=11 b=6 c= 13

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    c squared =25

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    100=100

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    a=12 b=9

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    144+81=225

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    a=6 b=8 c=10

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    /20

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    c squared 5 final answer

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    49+25=64

  • @user-wq7op6rb6u
    @user-wq7op6rb6u Před 5 měsíci +1

    No

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    square root of 2 is 1

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    11 squared+6 squared=13 squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    7 squared+5 squared=8 squared

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    square root of 2 is 1 square root of 4 is 2

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    pythagorean theorem

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    hypotanus

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    square root 225

  • @Bob-zg2zf
    @Bob-zg2zf Před 2 lety

    oh man, I think I know what general relativity is now.

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    25 square root is 5

  • @BuleriaChk
    @BuleriaChk Před 2 lety

    The Pythagorean Theorem is wrong (it doesn't preserve integer count).
    7 = 3 + 4
    7^2 = 49 = 3^2 + 4^2 + 2(3)(4)
    So are vectors, since they omit the interaction term 2(3)(4) and the PT can only be represented by "imaginary" numbers.
    5 = 3 + 4i
    5* = 3 - 4i
    5*5 = "25" = 3^2 + 4^2, where 5 and 5* are imaginary numbers, but the expression does NOT preserve count.
    7^2 = 5*5 + 24 = 25 = 24 = 49
    (This is a consequence of Fermat's Last Theorem including the case n=2)
    Proof of Fermat's Last Theorem for Village Idiots
    Let a,b,c,n be positive whole numbers where n > 1
    Preliminary notes
    ------------------------------------------
    Note: Subtraction is only defined for a - b if b a then c = a - |b| -> c < 0, but a + |b| = c so all elements are again positive for proof of Fermat's theorem (including case n=2) Pythagoras had quite an imagination...
    i = sqr(-1)
    i^2 = sqr(-1)sqr(-1)=sqr(-1*-1)=sqr(1^2)=1 = |sqr(i)^2|=sqr(|i^2|)
    psi = 1+i
    psipsi* = 1^2 + i^2 = 1^2 + 1 (logs are unequal)
    ----------------------------------------------------
    Let c = a + b a, b, and c are defined as sums of positive unit integers.
    Then:
    c^n = (a+b)^n = a^n + b^n + rem(a,b,n) by Binomial Expansion (Google it)
    c^n = a^n + b^n iff rem(a,b,n)=0
    But rem(a,b,n) > 0 for all a,b,n
    Therefore c^n a^n + b^n
    QED
    "Spacetime" is NOT a vector; only god can be at different positions at the same time (head and tail of vector, invariant in translation and rotation).
    x=vt
    x/t = v(t/t) = v(1_t); 1_t = log_t(t) defined as "One to the base t", and depends on t. (x,t) is nonsense, since both x and t are positive definite if expressed in the real number system. 1_t is a "clock tick" in the single "vector" direction x.
    A single circle cannot have both a radius and a circumference. (Trust me... :)

  • @petermsesay1807
    @petermsesay1807 Před 2 lety

    😘

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    find the lowest

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    find the c

  • @racquelsabesaje4562
    @racquelsabesaje4562 Před rokem

    hahahaha

  • @user-mg1hz2qm8k
    @user-mg1hz2qm8k Před 2 lety

    IN WORDS OF GOD
    BIBLE TO UNDERSTAND
    ALL THE THEOREM
    OLD AND NEW TESTAMENT FOR
    RETURNING OF
    JESUS

  • @hotmailanonymous
    @hotmailanonymous Před rokem

    Talk to much