What is the Pythagorean Theorem? - Calculate Pythagorean Theorem Formula - [8-8-1]
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- เผยแพร่เมื่อ 5 ก.พ. 2025
- More Lessons: www.MathAndScie...
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.
![Pythagorean Theorem in the X-Y Coordinate Plane - [8-8-5]](http://i.ytimg.com/vi/hcsYtSrEhPU/mqdefault.jpg)
![Pythagorean Theorem in the X-Y Coordinate Plane - [8-8-5]](/img/tr.png)
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.
The best explanations of the Pythagorean theorem I've seen.
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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
And people just watch how he teaches its amazing just watch
thank u for this wonderful explanation ur one of the best teachers 🤓🤓🤓🙏👇👇
Wish I had a math teacher like him when I was in high school
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!
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.
One of the Best teacher..
Great way to come at it! Thanks for applying space and time. It helped.
How will you know if you have a problem that requires you to use the Pythagorean therom?
You are right, they never said what anything in any area of math was good for!
such an amazing teacher, bless your heart sir thank you.
So nice of you
It's in Special Relativity, civil engineering, electrical engineering, surveying, astronomy, and aviation.
wow you are a great teacher. The visual way of teaching and in depth explanations really help me to understand! Thank you!!
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
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.
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.
@@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.
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
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
Awesome .. ❤
THANK YOU... SIR...!!!
Thank for pricinple of triangle where no one share the secret bebind me before.
Great teaching
I love your classes sir!! You are awesome!!
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!
Yes there will be more coming. Next lesson next Tuesday!
Sir ,
Please explain vector and its applications pls
😊
Thanks bro
Adjacent is A ,Opposite is b , Hypotenus is C
Sir please teach Einstein general relativity theory.
One day!
measuring angle starts in the right
thanks
Sir a request to make videos on semiconductor devices and operations
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.
30:41 Simplify root(157)
My answer: Already simplified (prime number)
c squared =25 is total sum of squared a + b squared
Can you explain sin 90 n cos 90 in a way easy to understand?of right triangle
Search keyword " Unit circle "
121+36=169
right angle 90 degrees
Please l have started watching your videos. I appreciate your help to students. Please what is the different between your TH-cam video and online purchase learning. video.
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
Inverse tangent function 12/9 = 53.13 degrees
a squared+b squared =c squared
right triangle
157=169
Wonderful !!!
Very good 👍 good
rt a=3 b=4 c
What does it mean that space and time is dead in black holes?
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.
@@MathAndScience if a man happens to live in black hole, he should live for ever since time is dead there!
@@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 :-(
@@MathAndScience I think the gravity differs at each place on earth because of curvature of the earth.
c squared=4.2
a=7 b=5 c=8
9+16=c squared
line b is short than line a
Hi sir, my son coming to 5th grade so can u teach 5th grade math plz
equal angle
a squared +b squared
=C squared
a=12 b=9
c squared =5
line a is short than b
/16+4
7 squared+5 squared=8 squared
c squared =25
a=2 b=4 c
square root of 2 is 1 square root of 4 is 2
c squared 5 final answer
square root of 2 is 1
unequal length
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Can u teach math and science for 5th grade
Yes I have a complete 5th grade curriculum. Please visit MathAndScience.com. I also have many lessons on TH-cam.
74=64
100=100
16+4
4.2
49+25=64
all the filling info is good but you need to be aware that you are over explaining to the extend of 35 minutes but at the end we are looking for espesifics and not a lecture so a little tip just cut it go to the point not make it booring and not all of us have 35 minutes to waste so you are a math expert so make it simple
pythagorean theorem
square root 225
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
Thanks so much. Yes please visit www.MathAndScience.com
25 square root is 5
20
4/4
25
Why do you mention plantets and gravity which are mathematicaly questionable, to say the least..
Wait, so if I draw a right triangle, DOES THAT MEAN IM DRAWING THE UNIVERSE?!?!!?!?
No
formula
hypotanus
IN WORDS OF GOD
BIBLE TO UNDERSTAND
ALL THE THEOREM
OLD AND NEW TESTAMENT FOR
RETURNING OF
JESUS
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oh man, I think I know what general relativity is now.
find the lowest
are you ok
@@sneky215frrrr
@@sneky215she glazing the comment section 😂😂
find the c
unequal
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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
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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)
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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... :)
hahahaha
😘
144+81=c squared
3 squared+4 squared=c squared
20=c squared
a=6 b=8 c=10
c squared =25