Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. ✅To view all videos on Triangle and its Properties, please enroll in our full course now: infinitylearn.com/cbse-fullcourse?UA-cam&DME&RGh8n86EE48 To watch more videos on Triangles, click here: bit.ly/Triangles_DMYT
@@rcknross Any logic or evidence to support that claim? For example, you know that "Dean Jelbert Austria" was taught in America? And had a teacher using Common Core? Or some reason anyone should believe YOU that "common core" dictates how specifically a teacher teaches a subject -- DESPITE the fact that ALL the documents describing it, those who created it, and those who use it, have explained over and over again that it does NOT do that? Or that there is reason to believe students taught prior to common core would be LESS likely to describe their teacher as "blabbering in front of the class"? Or a way you have taken into account, and made allowances for, the difference in audience? There's a HUGE difference between (i) a student self-motivated enough to watch a math video, and having the ability to start and stop it or repeat sections if they like, and (ii) a teacher who does not have the luxury of teaching each student individually, nor is blessed with a classroom of students with Dean's level of commitment to learning.
I prefer trigonometry as it is way quicker: Sinx = b/c Cosx = a/c Now we square them and get Sin²x = b²/c² Cos²x = a²/c² Then we add the equations and get Sin²x + cos²x = a²+b² / c² Using the property that sin² + cos² =1, We get 1 = a² + b² / c² Now we multiply both sides by c² and get C² = a² + b²
Wow! Really helpful, no words can describe how you teach online students, I've confirmed that I'll enroll full coarse right away. You know, my teacher always shout and yell out being frustrated answering my doubts & query, she constantly says me don't ask anything out of syllabus and extra which haven't taught yet.
Very nice explanation. It can also be proved by similar triangles. One of the practical proofs i came across at a Science Centre -- what they did was they created right triangle and on each of the sides built a squared box having same depth. And filled the box over hypotenuse completely with a coloured liquid. The system was mounted and could b rotated. The boxes were imterconnected. On rotating the system upside down, they showed that the liquid in the hypotenuse box got completely filled in the other two boxes. Of course, a2 * d + b2 *d = c2 * d. i. e. Equating the volumes. The depth d cancels out n we see the pythagoras theorem is proved.
You didn't explain why did we merge the points ar 1:18. I mean, did Pythagoras dream of this method to get the answer? Of course, NO. What compelled him to do so?
Thank you so much for your appreciation. We are glad that you understood the concept. We are happy that we could help you learn. Do support us by subscribing to our channel. 👍👍
Thank you so much Rama for your appreciation. We are happy that we could help you learn. We are glad that you understood the concept. For more videos, please visit our website - dontmemorise.com/
En cuanto al Triángulo rectángulo, donde se aplica el "Teorema de Pitágoras", tengo un nuevo concepto sobre este "Teorema" voy a llamar "Teorema de Sidney Silva" sigue mi relato; Condición de Existencia de un Triángulo; para construir un triángulo no podemos utilizar ninguna medida, tiene que seguir la condición de existencia: Para construir un triángulo es necesario que la medida de cualquiera de los lados sea menor que la suma de las medidas de los otros dos y mayor que el valor absoluto de la diferencia entre estas medidas, esto está relacionado en el Teorema de Pitágoras, ya en el "Teorema de Sidney Silva" podemos sí utilizar cualquier medida, siguiendo la condición de existencia; donde puedo construir un Triángulo que la necesidad de la medida de cualquiera de los lados sea mayor que la división de las medidas del lado más pequeño del valor absoluto (fórmula a ^ 2 = b ^ 2: c ^ 2 o b ^ 2: c ^ 2 En el caso de la hipotenusa será menor que los catetos, y siempre los catetos serán mayores que la Hipotenusa, donde los números 5,4,3 ya están obsoletos, cuando cambien de números, será aproximado , redondeado y simplificado, ya por mi "Teorema de Sidney Silva" siempre será exacto con 100% exactos .. !!!!, Sr Sidney Silva.
According to with your definitions, c square is the area of the INNER triangle. Summed to the areas of the 4 triangles equals the OUTER triangle's area. Even with this tiny detail, I can say this is one of the best explanations I have ever found because it inks nicely the quadratic equation with the basics of trigonometry.
God bless her. Yes, she explains it well. There is one thing, however. It's hard to pay attention to her, when she sounds like the phone scammer who calls me telling me that I owe the IRS a lot of money. :-o
Have you learnt about identities? If you then a identity is used on the right side of equals sign. That identity is (𝑎+𝑏)^2 which is equals to(=) a^2 + b^2 + 2ab. From there the second 2ab came on the right side of equals sign. Happy Learning😉
Mr anth. Area of smaller square is c^2. Area of 1 triangle is 1/2 ab. There are 4 such triangles. The area of these 4 triangles is 4×1/2 ab = 2ab +c^2 gives the area of the big square which is also (a+b)^2.= a^2+2ab + b^2
This’s crazy. Pythagorus simply noticed that if you draw a square on each side of a right angle triangle, then the some of the area of the two square on the two perpendicular angles, equals the area of the third square
c est la méthode d Abul wafa (X ème siecle) pour démontrer la relation de Pythagore.Abul wafa est également connu comme l inventeur de la tangente et la trigonométrie sphérique .
![Lp. Сердце Вселенной #60 РОЖДЕНИЕ ЛОЛОЛОШКИ [Финал] • Майнкрафт](http://i.ytimg.com/vi/YoR0pAV9FVQ/mqdefault.jpg)
Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof.
✅To view all videos on Triangle and its Properties, please enroll in our full course now: infinitylearn.com/cbse-fullcourse?UA-cam&DME&RGh8n86EE48
To watch more videos on Triangles, click here: bit.ly/Triangles_DMYT
@रौनक सेमवाल are ye mere bhai ne pucha hoga , he is in 9th na ..... By the thanks
Straight to the point without any useless intros or outros and fake smiles and fake positivity. This is my type of videos.
What an explanation with a melodious voice (whether it's real or artificial). Amazing.
I learned more from this video than my teacher blabbering in front of the class!
thats common core
Fantastic logic!
Thanks
@@rcknross Any logic or evidence to support that claim?
For example, you know that "Dean Jelbert Austria" was taught in America? And had a teacher using Common Core?
Or some reason anyone should believe YOU that "common core" dictates how specifically a teacher teaches a subject -- DESPITE the fact that ALL the documents describing it, those who created it, and those who use it, have explained over and over again that it does NOT do that?
Or that there is reason to believe students taught prior to common core would be LESS likely to describe their teacher as "blabbering in front of the class"?
Or a way you have taken into account, and made allowances for, the difference in audience? There's a HUGE difference between (i) a student self-motivated enough to watch a math video, and having the ability to start and stop it or repeat sections if they like, and (ii) a teacher who does not have the luxury of teaching each student individually, nor is blessed with a classroom of students with Dean's level of commitment to learning.
@@araptuga Woah! I'm impressed by your reply.
@@araptuga 👍🏾👍🏻
Excellent.. After nearly 4o years i got a good teacher..
40? How old are you bro?
I absolutely appreciate your channel. You make sooo much sense. 👍
Thank you so much for your appreciation. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos. 😊😊
Beautifully explained. Well done
Thank you :)
Don't Memorise
@@InfinityLearn_NEET How did you get 2ab on RHS 3.11
(a+b)² → (a+b)(a+b) → a²+ab+ab+b² → a²+2ab+b². So... It's because of distribution. Is that what you were asking about?
I prefer trigonometry as it is way quicker:
Sinx = b/c
Cosx = a/c
Now we square them and get
Sin²x = b²/c²
Cos²x = a²/c²
Then we add the equations and get
Sin²x + cos²x = a²+b² / c²
Using the property that sin² + cos² =1,
We get
1 = a² + b² / c²
Now we multiply both sides by c² and get
C² = a² + b²
Very nice explanation
I got a smile on my face
When i learned this
Thanks for the wonderful explanation
It's real
Wow! Really helpful, no words can describe how you teach online students, I've confirmed that I'll enroll full coarse right away.
You know, my teacher always shout and yell out being frustrated answering my doubts & query, she constantly says me don't ask anything out of syllabus and extra which haven't taught yet.
Thanks a lot, A. Pal_yt!
We are glad our videos are helpful to you.
Keep watching and learning! 🙂🙂
Very clever way of proving Pythagoras theorem.
Thank you :)
Thank you
What an explanation... hat's off👍👍👍👍👍👍👍👍
Thank you so much, Sankhjit!
Keep watching! 😀
@@InfinityLearn_NEET you are most welcome 😊
Proper steps. No duplication. No confusion. Clear voice.
Wow!!Excellent Teaching Best explained about Pythagoras therom such a Beautiful Explanation!!Thank you so much ❤
yes condition is c < a+b et > c > 0 if c = a+b no
Very nice explanation. It can also be proved by similar triangles.
One of the practical proofs i came across at a Science Centre -- what they did was they created right triangle and on each of the sides built a squared box having same depth. And filled the box over hypotenuse completely with a coloured liquid. The system was mounted and could b rotated. The boxes were imterconnected. On rotating the system upside down, they showed that the liquid in the hypotenuse box got completely filled in the other two boxes. Of course, a2 * d + b2 *d = c2 * d. i. e. Equating the volumes. The depth d cancels out n we see the pythagoras theorem is proved.
Loved the video...Seamlessly easy explanation!!
Best channel in UA-cam for understanding concept. I always learn something new from it👍
This really helps during online classes!!!! Thank you.... I understood more than what the teacher taught!!!❤
You didn't explain why did we merge the points ar 1:18.
I mean, did Pythagoras dream of this method to get the answer?
Of course, NO. What compelled him to do so?
Thank u.from bangladesh
I always forget stuff like this,which is interesting and nice to know.
Very beautiful and smart explanation
Awesome 👌
Amazing 🎉🎉vote of thanks to such teacher and videos for helping little kids during mathematics!!😊
Very good explanation, it made my task easier
Very nice explanation 🙂
Now I know what I will make for my school project, tnx
Such a great explatation. Wonderful never forget
Wow I don’t remember this from when i was young thank you
You guys are very helpful
This video was helpful thnx you
MARVELOUS content
Brilliantly explained! ( I'm yr 7) I don't need to know this but now I do thx 😂
Roshan-Abbas Manji
Now you are 8
gerard henry yes! And I’m yr 1
I didn't even born and I've learnt something interesting today!
I'm 0.5 yr old!!!
How did you prove that area of outer square=c²+4×1/2(ab)
Please explain.
It is the area of the inner square (c^2) plus (4) of the a-b-c triangles ( 4 x 1/2*base*height ).
@@louf7178 thanks,
Woah this video was published on ma birthday!!!
Wow, great explanation!
Thank you Johnny :)
bro did you know where the area of traingle came from, it came from the pythagoras formula
Excellent! so brilliantly explained
Very scientific explanation!
Outstanding step x step Proof; including the excellent visuals, arithmetic and associated algebra for this Triangle Measurement teaching example.
Thank you soooooo...... Much this video help me tooo
Nice explanation. Keep it up
You are the best🎉❤your teaching ability is superb I really love it😚🤗thanks for being with us sis💋💝
Thanks mam you saved my lot of time what a beautiful explinatoin 🤗🤗
Nice explanation and it is very useful......thank you mam.....
Thanks a lot 🐱
Clear explanation good 👏👏👏
Thank you so much for your appreciation. We are glad that you understood the concept. We are happy that we could help you learn. Do support us by subscribing to our channel. 👍👍
excellent way used for explanation
Muskan Verma Uninor
Excellent explanation thanks
great explanations with examples thanks much on this
😀
I liked your videos they are sentilating
3:13 why do we cancel both the 2ab , they are both positive???
Coz if you bring it to other side then it changes to negative and positive plus negative equals 0. So it cancels each other out
@@justadi2273 i see , just after commenting i got this
But forgot to delete this comment...lol😜
Really really really superb 👌👌
Excellent explaination
Thank you👌👏👏
Awesome teaching 😊
Pythagorast theorem is just wow
Super video about phytagoreans theory
Thank you so much Rama for your appreciation. We are happy that we could help you learn. We are glad that you understood the concept. For more videos, please visit our website - dontmemorise.com/
Thanks
Thanks. It was very helpful
Thanku for the video
Thanks for help
Thanku
Thank you so much..mam.
It is very helpful......
You're welcome, Pranjul!
To view more videos for free, register on our website: bit.ly/DontMemoriseRegister
Happy Learning :)
Perfect ‼️😉HARİKA 🌷
Finally I found a video which tells
En cuanto al Triángulo rectángulo, donde se aplica el "Teorema de Pitágoras", tengo un nuevo concepto sobre este "Teorema" voy a llamar "Teorema de Sidney Silva" sigue mi relato;
Condición de Existencia de un Triángulo; para construir un triángulo no podemos utilizar ninguna medida, tiene que seguir la condición de existencia: Para construir un triángulo es necesario que la medida de cualquiera de los lados sea menor que la suma de las medidas de los otros dos y mayor que el valor absoluto de la diferencia entre estas medidas, esto está relacionado en el Teorema de Pitágoras, ya en el "Teorema de Sidney Silva" podemos sí utilizar cualquier medida, siguiendo la condición de existencia; donde puedo construir un Triángulo que la necesidad de la medida de cualquiera de los lados sea mayor que la división de las medidas del lado más pequeño del valor absoluto (fórmula a ^ 2 = b ^ 2: c ^ 2 o b ^ 2: c ^ 2 En el caso de la hipotenusa será menor que los catetos, y siempre los catetos serán mayores que la Hipotenusa, donde los números 5,4,3 ya están obsoletos, cuando cambien de números, será aproximado , redondeado y simplificado, ya por mi "Teorema de Sidney Silva" siempre será exacto con 100% exactos .. !!!!, Sr Sidney Silva.
WHATTT?????
@@rudhraveena2638 Um desafio?
According to with your definitions, c square is the area of the INNER triangle. Summed to the areas of the 4 triangles equals the OUTER triangle's area. Even with this tiny detail, I can say this is one of the best explanations I have ever found because it inks nicely the quadratic equation with the basics of trigonometry.
Sorry "according to", not ""to with"
"links" oops!
Outstanding....
Wow e ta khatarnak trick ba
excellent explaination madam, Love u madam,👍
God bless her. Yes, she explains it well. There is one thing, however. It's hard to pay attention to her, when she sounds like the phone scammer who calls me telling me that I owe the IRS a lot of money. :-o
u helped me, god will help u with 100 m subs
thank you so much
I first saw this proof on George Simmon's Calculus book (which, I think, is used by MIT) and it blew my mind by its elegance and simplicity.
brilliant explaination
#thanks
Thank you Yash :)
Beutifully explained!
Very well explained !
A lot of thanks
How did we get that second 2ab on the equal side?
Have you learnt about identities?
If you then a identity is used on the right side of equals sign. That identity is (𝑎+𝑏)^2 which is equals to(=) a^2 + b^2 + 2ab. From there the second 2ab came on the right side of equals sign.
Happy Learning😉
Why should we join the adjacent points
You are the best
excellent
Mr anth. Area of smaller square is c^2. Area of 1 triangle is 1/2 ab. There are 4 such triangles. The area of these 4 triangles is 4×1/2 ab = 2ab +c^2 gives the area of the big square which is also (a+b)^2.= a^2+2ab + b^2
Thank you
right way to explained... Thanks...
Please derive the area of the circle and it perimeter
Nice!
Nice explanation
Thanks a lot ! Explained very well
thank you so much. you have explained it in a very clean manner
Amazing
Quick question: how did you assume that "the figure formed inside is a square"?
How did you get the area of a triangle (1/2 ab)
Area of triangle= 1/2 (length x breath)
Area if triangle =1/2 × triangle's base × triangle's height
All the 4 triangles have b as their base and a as their height
good one go randomly
This’s crazy. Pythagorus simply noticed that if you draw a square on each side of a right angle triangle, then the some of the area of the two square on the two perpendicular angles, equals the area of the third square
Why is inner quadrilateral square?
Thank you so much man say very well now I can andestand to be now
c est la méthode d Abul wafa (X ème siecle) pour démontrer la relation de Pythagore.Abul wafa est également connu comme l inventeur de la tangente et la trigonométrie sphérique .
Love you