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

  Рет қаралды 45,396

Math and Science

Math and Science

2 жыл бұрын

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.

Пікірлер: 140
@60NXNP09
@60NXNP09 2 жыл бұрын
The best explanations of the Pythagorean theorem I've seen.
@dupiandfriends5729
@dupiandfriends5729 Ай бұрын
@KayleeK0018
@KayleeK0018 Жыл бұрын
wow you are a great teacher. The visual way of teaching and in depth explanations really help me to understand! Thank you!!
@jcmc1693
@jcmc1693 3 ай бұрын
Great way to come at it! Thanks for applying space and time. It helped.
@delstanley1349
@delstanley1349 2 жыл бұрын
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!
@mumtazhamid
@mumtazhamid 2 жыл бұрын
One of the Best teacher..
@mikedavide8613
@mikedavide8613 Жыл бұрын
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 Жыл бұрын
And people just watch how he teaches its amazing just watch
@Little.Flowerbloom
@Little.Flowerbloom Жыл бұрын
such an amazing teacher, bless your heart sir thank you.
@MathAndScience
@MathAndScience Жыл бұрын
So nice of you
@Big_time_949
@Big_time_949 3 ай бұрын
Wish I had a math teacher like him when I was in high school
@raghavsirprsmurthyphysics898
@raghavsirprsmurthyphysics898 2 жыл бұрын
I love your classes sir!! You are awesome!!
@samburdge9948
@samburdge9948 2 жыл бұрын
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
@markprange4386
@markprange4386 2 ай бұрын
It's in Special Relativity, civil engineering, electrical engineering, surveying, astronomy, and aviation.
@bob-ny6kn
@bob-ny6kn Жыл бұрын
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.
@bradfordchiluka1278
@bradfordchiluka1278 Жыл бұрын
Great teaching
@brianbauer3148
@brianbauer3148 5 ай бұрын
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.
@MYfriendsknow
@MYfriendsknow Жыл бұрын
Wonderful !!!
@samirayadgar8197
@samirayadgar8197 2 жыл бұрын
You are right, they never said what anything in any area of math was good for!
@paulajleal
@paulajleal 2 жыл бұрын
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
@harlanshafer3429
@harlanshafer3429 2 жыл бұрын
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.
@waitforupdate8051
@waitforupdate8051 Жыл бұрын
Awesome .. ❤
@tresajessygeorge210
@tresajessygeorge210 8 ай бұрын
THANK YOU... SIR...!!!
@coastic1849
@coastic1849 2 жыл бұрын
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 2 жыл бұрын
Yes there will be more coming. Next lesson next Tuesday!
@shobarani4160
@shobarani4160 2 жыл бұрын
Sir , Please explain vector and its applications pls 😊
@froggy41046
@froggy41046 3 ай бұрын
Thanks bro
@angelasy1976
@angelasy1976 2 жыл бұрын
How will you know if you have a problem that requires you to use the Pythagorean therom?
@valleharley71
@valleharley71 9 ай бұрын
thanks
@lakshmig5852
@lakshmig5852 2 жыл бұрын
Sir a request to make videos on semiconductor devices and operations
@frizzyred1292
@frizzyred1292 2 жыл бұрын
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 2 жыл бұрын
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 2 жыл бұрын
@@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.
@samburdge9948
@samburdge9948 2 жыл бұрын
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
@buiminhmusic2935
@buiminhmusic2935 Жыл бұрын
Thank for pricinple of triangle where no one share the secret bebind me before.
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared =25 is total sum of squared a + b squared
@SingerAtoz
@SingerAtoz 2 жыл бұрын
Sir please teach Einstein general relativity theory.
@MathAndScience
@MathAndScience 2 жыл бұрын
One day!
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
measuring angle starts in the right
@samuelappiah4561
@samuelappiah4561 2 жыл бұрын
Please l have started watching your videos. I appreciate your help to students. Please what is the different between your KZfaq video and online purchase learning. video.
@arturosalvador319
@arturosalvador319 2 жыл бұрын
Can you explain sin 90 n cos 90 in a way easy to understand?of right triangle
@simpleman283
@simpleman283 2 жыл бұрын
Search keyword " Unit circle "
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
right angle 90 degrees
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
rt a=3 b=4 c
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
right triangle
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a squared+b squared =c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
3 squared + b squared= c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a squared +b squared
@Emoxical1
@Emoxical1 Жыл бұрын
Wait, so if I draw a right triangle, DOES THAT MEAN IM DRAWING THE UNIVERSE?!?!!?!?
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
4.2
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
2 squared+4 squared=c squared
@joshgabriel1063
@joshgabriel1063 9 ай бұрын
@peaceofpk
@peaceofpk 2 жыл бұрын
👍
@charlesankomah1307
@charlesankomah1307 2 жыл бұрын
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 2 жыл бұрын
Inverse tangent function 12/9 = 53.13 degrees
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
121+36=169
@lakshmiprasanna192
@lakshmiprasanna192 2 жыл бұрын
Hi sir, my son coming to 5th grade so can u teach 5th grade math plz
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
equal angle
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
4/4
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
157=169
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
20
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
/16+4
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
25
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
line a is short than b
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
144+81=c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
4+16=c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
line b is short than line a
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
formula
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared=4.2
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
/20
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
20=c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
16+4
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
9+16=c squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
unequal length
@lakshmiprasanna192
@lakshmiprasanna192 2 жыл бұрын
Can u teach math and science for 5th grade
@MathAndScience
@MathAndScience 2 жыл бұрын
Yes I have a complete 5th grade curriculum. Please visit MathAndScience.com. I also have many lessons on KZfaq.
@hemarajue2736
@hemarajue2736 2 жыл бұрын
What does it mean that space and time is dead in black holes?
@MathAndScience
@MathAndScience 2 жыл бұрын
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 2 жыл бұрын
@@MathAndScience if a man happens to live in black hole, he should live for ever since time is dead there!
@MathAndScience
@MathAndScience 2 жыл бұрын
@@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 2 жыл бұрын
@@MathAndScience I think the gravity differs at each place on earth because of curvature of the earth.
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared =5
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared=15
@samburdge9948
@samburdge9948 2 жыл бұрын
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 2 жыл бұрын
Thanks so much. Yes please visit www.MathAndScience.com
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a=2 b=4 c
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
74=64
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a=7 b=5 c=8
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared =25
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
100=100
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a=12 b=9
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a=11 b=6 c= 13
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
36+64=100
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
c squared 5 final answer
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
a=6 b=8 c=10
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
unequal
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
square root of 2 is 1
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
11 squared+6 squared=13 squared
@user-wq7op6rb6u
@user-wq7op6rb6u 5 ай бұрын
No
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
144+81=225
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
7 squared+5 squared=8 squared
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
hypotanus
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
49+25=64
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
square root of 2 is 1 square root of 4 is 2
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
pythagorean theorem
@Bob-zg2zf
@Bob-zg2zf 2 жыл бұрын
oh man, I think I know what general relativity is now.
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
square root 225
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
25 square root is 5
@petermsesay1807
@petermsesay1807 2 жыл бұрын
😘
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
find the c
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
find the lowest
@user-mg1hz2qm8k
@user-mg1hz2qm8k 2 жыл бұрын
IN WORDS OF GOD BIBLE TO UNDERSTAND ALL THE THEOREM OLD AND NEW TESTAMENT FOR RETURNING OF JESUS
@BuleriaChk
@BuleriaChk 2 жыл бұрын
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... :)
@racquelsabesaje4562
@racquelsabesaje4562 Жыл бұрын
hahahaha
@hotmailanonymous
@hotmailanonymous Жыл бұрын
Talk to much
@olalekankabir9162
@olalekankabir9162 8 ай бұрын
yes she talk to much mrs ITK
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