Proof of the Sum of Angles of a Triangle Measure 180 Degrees | Don't Memorise

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  • Опубликовано: 26 ноя 2024

Комментарии • 741

  • @balaramnaskar80
    @balaramnaskar80 3 года назад +8

    I didn't even thought that any body can look at the angles of triangle from such an angle. It helped me a lot to do my project work.
    Thankyou team @Dont memorise for helping us out through your videos

  • @b.f.skinner4383
    @b.f.skinner4383 4 года назад +105

    This is absolutely mind blowing! Thanks for making me look at this in a different angle ;)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  4 года назад +22

      It's my pleasure. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos : )

    • @rahulpatadiya2741
      @rahulpatadiya2741 3 года назад +2

      Op

    • @aarav6397
      @aarav6397 3 года назад

      Well this wayyyyyy better than my school teacher lmao

    • @monishcreationpubg4158
      @monishcreationpubg4158 2 года назад

      Yt

    • @CreatorClips123
      @CreatorClips123 2 года назад

      bad,sry

  • @soapspangledgames2444
    @soapspangledgames2444 5 лет назад +23

    I have never seen such a good, thorough explanation of why the interior angles always equal 180 degrees. This just goes to show the failures of the U.S. educational system, as none of my schools ever presented this. They are always about rote memorization, not the underlying theory. I had to watch a couple times, but then it clicked and the light bulb came on.
    Thank you SO much for this!

    • @108aditya
      @108aditya 4 года назад

      I think this Channel is Indian as I am too

  • @Apollorion
    @Apollorion 4 года назад +6

    I'd prefer reasoning this way: i.e. driving around the corners & returning to where you came from.
    *At each point you deviate from going straight forward by 180-(internal angle) degrees.
    *In total, you go round once and arive at the same direction of walking/driving i.e. rotate 360 degrees.
    So combined: 360=3*180-a-b-c where a,b,c are the sizes of the internal angles from the different corners. Add a+b+c-360 to the left and right side of this equation and you get:
    a+b+c=180
    Q.e.d.

  • @spelunkerd
    @spelunkerd 4 года назад +12

    What an elegantly simple derivation. Gotta wonder why this was never explained in grade school.

    • @rudragajjar454
      @rudragajjar454 4 года назад +1

      This proof is there in class 9 math textbook

    • @VANTABL4CK
      @VANTABL4CK 4 года назад

      @@rudragajjar454 cbse?

  • @WasimBaigACCA
    @WasimBaigACCA 8 лет назад +85

    Proudly adding you to the lovely list of my teachers :).
    It was just amazing...

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  8 лет назад +11

      Thank you for your kind words Wasim! To learn more and stay updated about our latest uploads, please register on our website here: bit.ly/DontMemoriseRegister
      Don't Memorise, Know More :)

    • @shitpostgod2656
      @shitpostgod2656 4 года назад +6

      Wasim Baig simp

    • @mohsinwara235
      @mohsinwara235 4 года назад +7

      @@shitpostgod2656 15 year olds calling everyone simps

  • @alexkillaz4179
    @alexkillaz4179 5 лет назад +101

    No hablo ingles pero entendi todo a la perfeccion. El lenguaje matematico es universal..

    • @bartonpaullevenson3427
      @bartonpaullevenson3427 5 лет назад +2

      Es verdad

    • @qiwas4665
      @qiwas4665 5 лет назад +12

      I guess it's something like "no English is needed here. The Maths language is universal". Am I right?

    • @kasra72389
      @kasra72389 5 лет назад +14

      The translation is: “I don’t speak English, but I understood everything perfectly. The language of mathematics is universal.”

    • @000adrianelpiola000
      @000adrianelpiola000 4 года назад +3

      Yo entiendo inglés pero no entendí una mierda.
      Naj es broma, sí entendí.

    • @earthchanger
      @earthchanger 4 года назад

      @@kasra72389 you are right

  • @saritamishra8043
    @saritamishra8043 7 лет назад +10

    Better than any other math video,well explained,I was quite afraid for my exam as this question was for 4 marks...Thank you for sharing such a great video

  • @chococandy8009
    @chococandy8009 4 года назад +1

    I wish i could get this kind of education before... but no problem i am here now and enjoying these leactures. Thank you sooo much.

  • @kanishkagadiparthi1789
    @kanishkagadiparthi1789 3 года назад +3

    Wow , this is an awesome way of analyzing a concept.
    This is far better than the environment in which we were taught , thanks a lot .
    Don't memorize stood by it's name, we are really learning in a way we don't have memorize

  • @beenajainjain4610
    @beenajainjain4610 3 года назад +1

    Very very very very very very very very 10000000000000000000000000 times very nice explaination it was mindblowing

  • @redmotherfive
    @redmotherfive 4 года назад +2

    Thank you! Best concise explanation online.

  • @suryarajshivam7729
    @suryarajshivam7729 4 года назад

    I thanks this youtube channels from my heart because it helps me to understand maths easily and make easier to solve thanks dont memorise,

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  4 года назад

      Thank you so much Surya for your appreciation. This motivates us to do better. Do support us by subscribing to our channel👍👍

  • @KshuCrazy
    @KshuCrazy Год назад

    This is the best explanation of this topic in my life

  • @Invalid571
    @Invalid571 4 года назад +57

    Non Euclidean geometries:
    I'm going to end this mans whole career.

    • @wangzisworks
      @wangzisworks 4 года назад

      😭😭😭😭 I’ve researched non Euclidean geometry on my own and I’m not happy to do it in college haha

  • @hemanthvarma5599
    @hemanthvarma5599 4 года назад +2

    Thanks for your help 😎

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  4 года назад +1

      You are most welcome, Hemanth!
      We are happy to help😊

  • @louise3277
    @louise3277 2 года назад

    Perfect explanation! 27 students liked looking that. :)

  • @VenkatReddy-xk7sp
    @VenkatReddy-xk7sp 5 лет назад +3

    Superb explanation. Who are watching this in 2019 .

  • @davidmadisontheguardian
    @davidmadisontheguardian 5 лет назад +1

    Watching all of your videos from oldest to newest. This will take a few days; but should give me a very strong understanding of many areas of study.

  • @netsedmomin94
    @netsedmomin94 5 лет назад +1

    Thanks Very much I am now prepared for test

  • @randomboy.8827
    @randomboy.8827 2 года назад +1

    This video cleared my doubts.Thank you😊

  • @diveintokpop9305
    @diveintokpop9305 2 года назад +1

    Thank you for helping me!💗

  • @Harikeertanareddy18
    @Harikeertanareddy18 5 лет назад +3

    very perfect thank god its very useful for my math exam 😃😃😃😃

  • @chandanapalit5674
    @chandanapalit5674 4 года назад

    Clear as water... Great explanation

  • @StarkIndustries.
    @StarkIndustries. 3 года назад

    Great voice with a spectacular way of teaching. Understood the concept under 2 min. Thanks alot .

  • @anushree6551
    @anushree6551 4 года назад +1

    Great! Simple! Worthy! :)

  • @cartoonist9265
    @cartoonist9265 3 года назад +1

    Thank u fr the explanation u r teaching is mind blowing

  • @ishanth8668
    @ishanth8668 3 года назад +2

    Lots of thanks to u ... ❤️ u clear all my doubts 🙏🏻

  • @rishivarmankamarajah7322
    @rishivarmankamarajah7322 4 года назад +1

    Thank you do look much for putting this video.Because since I was a little bit confused,I went to RUclips and search this 😁
    Thanks once again.You're the best😘❤❤❤

  • @shitpostgod2656
    @shitpostgod2656 4 года назад +1

    This channel is actually so effective thank you

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  4 года назад +1

      Most welcome, Axstro! Gald our videos are helpful to you 😃

  • @janasenaadoni
    @janasenaadoni 4 года назад +1

    Really amazing channel small things are really neglected in education system but u people are even explaining from basics really great please do lot of videos

  • @anush7309
    @anush7309 3 года назад

    Thank you very much this is going to help me so much on my exam

  • @Tiger-dq8lc
    @Tiger-dq8lc 4 года назад +1

    Thanks to make it easy.

  • @sekarrajendran0078
    @sekarrajendran0078 5 лет назад +1

    Thank you

  • @toonelements9735
    @toonelements9735 3 года назад

    Very nice Video Tomorrow is my exam And I am really well prepared for it and confident 😎 by watching your video

  • @Mohor786
    @Mohor786 4 года назад +1

    Awesome learning channel..

  • @bishalsen6850
    @bishalsen6850 4 года назад

    Wow!...that's was great....you are my another new teacher from now!

  • @abannnn69
    @abannnn69 4 года назад +1

    Absolutely 👌👌👌 Great video.This video cleared my doubt .keep it up.
    And I love these 2 words
    "Don't Memorise"

  • @davidroux7987
    @davidroux7987 5 лет назад

    Beautiful Indian accent! Clear!

  • @nocap4179
    @nocap4179 3 года назад

    Boom! u clear my concept

  • @vimalakumari5531
    @vimalakumari5531 Год назад

    Thankyou so much for your explanation

  • @jacknight_1550
    @jacknight_1550 3 года назад +1

    This 3 min video saved my 5 Marks

  • @imaakashak581
    @imaakashak581 5 лет назад

    this channel is greatest chanel am subscribe
    this channel
    am prepare for upsc but is very usefull 2 minutes to clear basic

  • @yourgamemate7656
    @yourgamemate7656 4 года назад

    Great no words just Bravo Bravo Bravo bravo bravo bravo bravo bravo bravo

  • @Yoswinappcom1233
    @Yoswinappcom1233 8 месяцев назад +42

    Watching at 2024😂

  • @eross231
    @eross231 4 года назад +57

    Is this the new minecraft enchantment table accent?

  • @Deepu7635..........
    @Deepu7635.......... 4 года назад +1

    Wow very nice topic

  • @MahendraKumar-sk9uk
    @MahendraKumar-sk9uk 4 года назад

    ery nice maam i am a new student i love your videos as i've started in lock down as my teacher had sent the link i 'm very happy maam please continue like this only thank you maam

  • @Anushka_jewki
    @Anushka_jewki 3 года назад

    Thank you I so happy .because I got the ans of my question. Thank you, thank you, thank you . 😊😊

  • @sristiprasad4424
    @sristiprasad4424 3 года назад +2

    Nice! This explanation is just Amazing 😆
    I understood everything 😁
    Thak uhh soo much :)

  • @ananyachandran.k9425
    @ananyachandran.k9425 3 года назад +1

    Thank you so much ✨🙏

  • @leiycartalla1216
    @leiycartalla1216 3 года назад

    Thank u so much this helped me alot in my homework

  • @learnohubaks255
    @learnohubaks255 3 года назад

    Thank you very much
    this explanation Is mind blowing thank you so much

  • @doodelay
    @doodelay 2 года назад +1

    Alternate which is even faster to prove is that, all triangles can be formed by cutting a quadrilateral in half across the diagonal. And since quadrilaterals are always 360 degrees, cutting the quadrilateral in half splits 2 of the corner angles in half to make a triangle every time. The two triangles formed have exactly 360/2 = 180 degrees

  • @Mikdeelow
    @Mikdeelow 5 лет назад

    being a surveyor i know that the sum of interior angles = 180(n-2) n being the number of amgles. this works for any shape and number of angles as long as the figure is closed. this is how one determines the ‘error of closure’ in a surveyed figure.

  • @charu_shinde
    @charu_shinde 3 года назад

    It is simple on exam perfect angles 👌

  • @chrisg3030
    @chrisg3030 5 лет назад +1

    A proof I learnt in high school was cut out a paper triangle and fold it so one corner is resting on the opposite side. You'll find that the other two corners can be folded in to meet that first corner so that all three corners together form the sum of the angles on a straight line, which of course is 180 degrees.

  • @markale7328
    @markale7328 7 лет назад +7

    this could be taking notes but thank you so much I really need help with math 😃😉

  • @mdphybes
    @mdphybes 5 лет назад +6

    Thank you very much...clear, concise, and complete, short of explaining why it might be the most important topic in Geometry. I actually did quite well in Geometry in High School but I'm afraid that was many years ago. Although I could remember that the sum of the angles of a triangle equaled 180 degrees, I could not for the life of me remember why, which is always the most important aspect of learning anything. That five year old may be able to answer correctly for more topics immediate in their life, but I really don't think they're smarter than me... well, not all of them anyway.

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  5 лет назад

      Thank you very much for the appreciation and for watching.
      To view more videos for free, register on our website: bit.ly/DontMemoriseRegister :)

    • @majibarshaikh8032
      @majibarshaikh8032 Год назад

      No

  • @rohitrohitkumar9919
    @rohitrohitkumar9919 4 года назад

    Amazing job.superb experience

  • @grandmastergyorogyoro532
    @grandmastergyorogyoro532 5 лет назад +3

    I really loved your explanation of Binomial theorem!

  • @stvp68
    @stvp68 5 лет назад +1

    Nicely done. Very clear and easy to follow.

  • @sagarmandi1069
    @sagarmandi1069 4 года назад +1

    One of my childhood mystery get cleared today
    Thanks

  • @generalralph6291
    @generalralph6291 3 года назад

    A high quality video thank you very much

  • @snakeeytechz4637
    @snakeeytechz4637 6 лет назад +1

    Thanks for this video 😇😇😇

  • @danielmensah2485
    @danielmensah2485 Год назад

    Thank you, you’ve done a great work

  • @crispychris8399
    @crispychris8399 3 года назад +2

    Thank you for making this video! It's very helpful :)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +1

      It's my pleasure. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos. 😊😊

  • @trilokigupta7507
    @trilokigupta7507 5 лет назад +4

    This thorem is very simple in exam time

  • @Ariamyyyy
    @Ariamyyyy 3 года назад

    AMAZZZZING !!!!!! THANKYOU SO SO MUCH IT HELPED ME A LOTTTT !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +1

      You're most welcome and Thanks for your appreciation. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. Do support us by subscribing to our channel. 👍👍

  • @aee220phmunirabad
    @aee220phmunirabad 5 лет назад

    Simple but powerful

  • @jayapriya5766
    @jayapriya5766 3 года назад

    Thank you.

  • @sadekjn
    @sadekjn 4 года назад +3

    For those who are unsatisfied, a quick Google search should show you the proof of the Alternate Interior Angles Theorem.
    It is conventional in math to use previously proven theorems to prove others.

  • @kevinbyrne4538
    @kevinbyrne4538 4 года назад +1

    Very nice, concise, clear proof.
    Thank you. :)

  • @anilshaw8816
    @anilshaw8816 Год назад

    Thank you so much.... I really was in need for it

  • @rohitrajan8378
    @rohitrajan8378 8 лет назад +131

    Only 10k views?? This video is brilliant you deserve way more than this. Promote promote promote!

  • @Arifaisal1876
    @Arifaisal1876 4 года назад +1

    I knew it but not sure about it
    Thanks

  • @kooparbindiranagara6982
    @kooparbindiranagara6982 2 года назад

    Thank u so much mam I clarified my all doubts

  • @JyotiSingh-un4gq
    @JyotiSingh-un4gq 4 года назад

    Best. Explanation

  • @gamingwithojas8352
    @gamingwithojas8352 3 года назад

    THANKS DM

  • @itsUmacreations
    @itsUmacreations 5 лет назад

    Nicely explained.... thank you very much

  • @anantkumarshukla-rs2tr
    @anantkumarshukla-rs2tr 10 месяцев назад +1

    good one.

  • @janecookbook8903
    @janecookbook8903 4 года назад

    Good n clear explanation... It's Very useful

  • @devchatterjee2124
    @devchatterjee2124 4 года назад +1

    I wish i would be your student in real.......i would be a maths genius.....love from india......

  • @alltechpro3208
    @alltechpro3208 8 лет назад +2

    Thaanks a lot!!. This is helping me pass my Half yearly examination!!! Cheers!!!! :) :)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  8 лет назад +1

      That's awesome! Don't forget to register on our website here: bit.ly/DontMemoriseRegister
      It has more awesome videos :)
      #DontMemorise

    • @alltechpro3208
      @alltechpro3208 8 лет назад +1

      I will see :)

  • @shamimsk4738
    @shamimsk4738 4 года назад

    Worth watching

  • @poojasharma336
    @poojasharma336 2 года назад

    Thanks a lot!

  • @sometimesyouwinsometimesyo7538
    @sometimesyouwinsometimesyo7538 4 года назад

    you are the world's best maths teacher

  • @zohar99100
    @zohar99100 5 лет назад +10

    The number 180 is arbitrary. This number has been chosen because it can be divided by many numbers, so the results (partial angles, smaller angles) would be integers. That's why the angel of a straight line is 180. And as a result of this, the sum of the angles of a triangle is 180.
    It can be also reversed: We can decide that the sum of the three angles is 180, then the angel of a straight line would be also 180. This is true only in Euclidic Geometry (Plain Geometry).
    Water boil at 100 degrees. why? The answer is the same. It is also an arbitrary number just for convenience.

    • @angelmendez-rivera351
      @angelmendez-rivera351 5 лет назад +5

      zohar99100 Not quite. It is not that 180° was chosen arbitrarily. Not at all. Rather, it is derived from the definition of the circle as being 360°, with the latter being arbitrary. However, this difference is important, because there is much more justification to start with 360° than to start with almost any other number.

  • @jarinhawlader6954
    @jarinhawlader6954 8 лет назад +7

    THANK-YOU SO MUCH YOU SAVED MY LIFE

  • @Sahithi_N
    @Sahithi_N Год назад

    U said very interesting and in very organized . I really liked these video

  • @youssefaly7067
    @youssefaly7067 3 года назад

    so satisfying holy thanks so much

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад

      You're most welcome. We are glad that you understood the concept. We are happy that we could help you learn. For more videos, please visit our website - dontmemorise.com/

  • @dishagururani7487
    @dishagururani7487 4 года назад

    Excellent videos...THANKSSSSS....

  • @sandiashvrR
    @sandiashvrR 5 лет назад +1

    Finally found something useful
    Thanks a lot😊
    Keep making more of such videos.

  • @dark_soulraj
    @dark_soulraj 5 лет назад

    Thanks,got a new concept.

  • @Amit.x_17
    @Amit.x_17 3 года назад

    Thanks i understood very clearly

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад

      You're most welcome. We are glad that you understood the concept. We are happy now that you are all clear with your doubts. You motivate us to do better. Keep watching our videos. 😊😊

  • @saurabkhanal3953
    @saurabkhanal3953 4 года назад

    wow thanku so much

  • @pranavsingh1899
    @pranavsingh1899 5 лет назад +2

    Thanks for clearing my doubts

  • @satishkumargupta1137
    @satishkumargupta1137 3 года назад +1

    Thank you sir very so much confused than clear ho gya

  • @darshnapatil3688
    @darshnapatil3688 4 года назад

    I loved ur explanation

  • @quantumdevil5147
    @quantumdevil5147 2 года назад

    Interesting, no one explain this; thanks