The Pythagorean theorem intro | Right triangles and trigonometry | Geometry | Khan Academy

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Introduction to the Pythagorean Theorem
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Geometry on Khan Academy: We are surrounded by space. And that space contains lots of things. And these things have shapes. In geometry we are concerned with the nature of these shapes, how we define them, and what they teach us about the world at large--from math to architecture to biology to astronomy (and everything in between). Learning geometry is about more than just taking your medicine ("It's good for you!"), it's at the core of everything that exists--including you. Having said all that, some of the specific topics we'll cover include angles, intersecting lines, right triangles, perimeter, area, volume, circles, triangles, quadrilaterals, analytic geometry, and geometric constructions. Wow. That's a lot. To summarize: it's difficult to imagine any area of math that is more widely used than geometry.
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[@samanthamanego2923]

Math is sometimes painful, but when you understand it, Math seems like MAGIC...

[@ericjimenez309]

Sam427 yeah, have you tried applied calculus 1,2,3? You can make computer circuits to aerospace designing of aircraft and engines.. pretty cool stuff 😃

[@imjustaquestion9922]

Nah fam it’s dark magic

[@gabo2364]

My situation 😂

[@renan6827]

I know exactly how that feels

[@jaxoncosina3684]

it’s also pointless asf so that’s cool too!

[@simplemagi4691]

My teacher took 4 months to teach us this, you summed it up in less then 6½ minutes. =_=

[@Andrea-fz3pm]

How-many-licks does-it-take yeah, ikr, it's bc TEACHERS ALWAYS COMPLICATE IT EVEN MORE

[@niteowl9881]

4 months your lucky.my teacher taught us this 4 days before exam.thank god you dont live in Jamaica

[@laibakhan2261]

How-many-licks does-it-take ur teacher must be dumb or either ur class is slow af

[@jimburnsjr.]

don't talk trash about your teacher... this guy did an incredibly crappy job of explaining... the difference between pythagorean 1-2-3 right triangle, and a squared plus b squared = c squared in relation... isn't observed at all... you don't think it is a big deal because you have no idea how the knowledge was evolved or what procedures were used to verify the methods physically. unfortunately the possibility of overcoming that liability exists almost exclusively in a circumstance where your education system has an extreme respect for posterity both on the part of the teachers and students. ie. if you do not teach the physical mechanics of how laying out a long division problem in the traditional way only works by doing the problem from left to right... eventually that knowledge can be largely forgotten and falsified on accident or on purpose... regardless the product will be a largely disenfranchised population that doubts it's ability to use math to build a home or an airplane... and it doesn't take much of that to lose most of what little knowledge you do have.. less than a generation. this problem is tough... you need to upgrade your teachers with absolute honesty... and as much professional posterity as they can possibly muster..... and you need to do that without attacking or otherways hurting your teachers feelings... confidence, love of their work and the community... you need to produce students who love their study.. who are also incredibly respectful of their own professional posterity in that study... whom respect the teacher and their potential to mislead on purpose or by accident.... you need students who are genuinely interested in learning as much as they possibly can so they can take care of the next gen without setting it up to be leveraged by dishonest politics or similar... and you need to achieve all that without radicalizing the students... without hitting their knuckles with a ruler... or allowing them to run amuck in the classroom destroying the other students respect for that class and their education. how do you get the best of the best in teachers and students without ruining it by being excessively brutal or excessively soft on either teachers or students? respect... for the occasion of your own existence... if it were easy to truly give that to everyone... this problem wouldn't be a problem

[@ausphilreid]

@@jimburnsjr. You sir, are the kind that we need in revolutionizing our current education system. You totally get it.

[@Miiilked]

Thumbs up if you came here because you have a test tomorrow

[@alfiehickey4247]

+Dark Dragon I got homework.

[@Miiilked]

Haha i got the school holidays

[@onesixlima]

lol i do... :(

[@alexgonzalez514]

Oh I missed class so I have to learn it by my self since my teacher doesn't offer tutorials

[@Miiilked]

unlucky :PP

[@bryanevans1692]

i dont start to slowly cry anymore when i open my math text book

[@bigcountry7096]

Lmao i used to be terrified of my older brothers math books lol

[@cozyspacebear]

im still crying

[@soraya2000]

cant reLATE

[@Max-cv8uf]

Bryan Evans I still cry

[@peppermintcandies889]

Honestly goals

[@shannonmarbut3648]

I came for the maths, and stayed for the impressive handwriting.

[@IMtheman1100]

+1

[@mistypandaman6607]

-1

[@BrickNGames]

1

[@cheistiana.wgmanley8565]

n i ce

[@puddleslime253]

-1

[@poohsdwnbad5319]

I’d bet this man never thought his video would be relevant in 2020 it’s sad I’m learning from something ten years ago than I’m learning from “Online school”

[@brinagrant1150]

Same

[@yaboyyeet3717]

it sure is

[@logic_bountyp4927]

same

[@maximusquezada4189]

Me too trying to do some work i haven’t idea how to do

[@HunchoHate]

Fr I'm in class rtn

[@bjarrk]

we really simping for this man huh

[@sailor_squad1854]

Ay your too loud😳✋

[@vt6616]

Shhh 😳😻

[@overduekimchi8083]

me coming here for study purposes ... me seeing this comment: woah uh😳

[@august6463]

Yes

[@gamingwithjayjohnson3958]

Yessir

[@Reckzo]

So much better than my geometry teacher. THANK YOU.

[@parkerpickles3793]

LOL 7 YEARS AGOO

[@reecetheoret5899]

ParkerPickles lol just just saw😂

[@jeenyus2032]

Excuse me Diego?

[@henrybatmanlol451]

Uhh

[@emg6885]

@@parkerpickles3793 right. , he's probably finished with school by now

[@rannemalshehri925]

50 minutes wasted every single day and when I watch this 10 minute video I understand every single thing Wow just.... 😶 Wow

[@emmanuelflores1557]

Right

[@gabeitches9683]

Yea my teachers make it complicated

[@BlimeyGeezaMate]

Your handwriting is beautiful.

[@bryannguyen8440]

+Taeshawndretta Brown He has a pen tool :)

[@BlimeyGeezaMate]

+ Bryan Nguyen I know it's done on a graphics tablet and those things are so difficult to write on, so I still admire his great writing :P

[@bryannguyen8440]

Taeshawndretta Brown that is great, same here

[@shashankasharma5449]

I agree

[@benm9901]

Dang... 5 years ago!

[@jayg539]

i wish i was high on potenuse

[@mariagallagher6455]

same

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JAY garcia haha haha good job key and peele

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Lol I get it

[@randieyellowquill0069]

Lmao same

[@dalhan2811]

I see what you did there.

[@tsRickster]

GUYS DON’T FORGET THIS, I WAS REMODELLING MY ROOM AND I ACTUALLY USED THIS AND I JUST GRADUATED A YEAR AGO!! DON’T FORGET THIS STUFF!!

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IM GONNA 😭😭😭

[@CHO-fq6fn]

i was stressing over this for hours while I could just open yt oof

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Dude u spelll KZbin wrong

[@blahblahcreations8171]

@@cuddlypaws4u Ello, people some "YT" because it's sort of another smaller way of saying youtube. Have u have a gud day.

[@155inator6]

@@blahblahcreations8171 🤣🤣

[@johnfaulkerson5432]

(teacher teaching PYTHAGOREAN THEOREM) Me when learning this : WHAT!! IT'S SO BASIC!! Me when during test : did our teacher teach this to us? I don't know this!!

[@wronglife5565]

That was me in 8th grade😂

[@wronglife5565]

@baba Rivera yeah, now I do

[@adidascolt]

I remember learning it in 6th and being confused because it was so easy, and using converse of the Pythagorean theorem and stuff wasn’t any harder

[@Supl3xcity]

@@wronglife5565 I'm in 8th grade rn...

[@sonyduck8663]

My math Teacher| Khan Academy ------------------------------------------------------- 🤔 | 😉🙂 | what? | wow it's so easy |

[@FearBananas]

My teacher sucks at explaining this nobody got it not even me and I am good at math

[@paulinaespinosa5336]

that's coolio beans

[@deadshot2081]

Sony Duck ikr

[@eimaanagha2493]

Paulina Espinosa I totally agree

[@rannemalshehri925]

Ikr

[@OGBlueWarrior64]

My math class is gonna start learning this on Tuesday (tomorrow), so I decided to learn what this Theorem is. The second example blew my mind! Whoever is reading this, I hope you understand this just as much as i do and I wish you passing grades! Regards, Cadence (8th Grade)

[@clairel5858]

:D

[@captain7332]

You got to do this in 8th grade? I’m doing an online school program and we had to learn this in 7th grade.. D:

[@CombatMysticMan]

Neek

[@pandora9673]

@@captain7332 you’ve ib classes

[@captain7332]

@@pandora9673 I didn’t even know what that was before searching it up, thanks though :]

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I doubt anyone from khan academy will ever see this but, you guys have changed peoples lives and will for a long time and I really respect that.

[@user-uu4pi1ht1f]

I hate khan academy

[@berhanarslan7098]

DAMN!! THIS GUY IS GOOD WOTH MOUSE WRITING!!

[@berhanarslan7098]

With*

[@RavitejaAnumukonda]

He has a graphics tablet, it's like a pen for your computer.

[@stardust4082]

i bet he has a stylus

[@adenccpb9252]

@@berhanarslan7098 who called the grammar police

[@mohamedjalloh9946]

TRUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@addisonkeates5276]

y'all over here for math but im literally only here cus his voice holy-

[@kuldeepsen3364]

Hi, contact me on my WhatsApp [phone] for any kind of help like questions solutions etc in any of the subjects. Try this, it's really helpful.

[@strawhatguy4815]

I'm a dude and his voice is making me want to- 😳

[@user-ds9gj1yd6j]

I couldn't believe that I'm bored enough to watch tons of math videos as entertainment *quarantine days*

[@joshtheturtle2256]

I am just here because my teacher made me

[@frederickrichard1718]

LMAO

[@sircommander27]

@@joshtheturtle2256 same

[@holy0mi195]

I'm here for the voice. 😔

[@kuldeepsen3364]

Hi, contact me on my WhatsApp [phone] for any kind of help like questions solutions etc in any of the subjects. Try this, it's really helpful.

[@melissagonzalez4906]

listen me out- his ✨voice✨

[@oliviabh111]

corspe before puberty

[@emaleigh1594]

giving me very much corpse husband when he first started youtube

[@AngelAguilar-wk3zk]

Not this again

[@GodKingTTV]

@@AngelAguilar-wk3zk honestly these people gotta get a tan or something

[@brennan1974]

DOWN BAD

[@officialburrito3874]

Math class in schools should be relegated to a guiding teacher who introduces subject matters and helps us when we have questions. However the bulk of the instruction should come from clear and concise videos like this one which teach concepts in the most effective and polished way possible.

[@ladofthedamned7796]

Oh yeah and having your suggestion is currently very very recommended during online class because you wouldnt need a projector and you would just use the stream function Edit: youtube deleted my other reply💀

[@arshali6593]

Man be my maths teacher plzzz!! My teacher of maths goes like 1 chapter 1 day and i am in 7 grade....he told me this theorem in one day.......love your videos man !!!!

[@allstargamer595]

Well i learnt this tday and have a test tommorow

[@gGavin04]

no your in the 10th grade

[@digitallearningsolutions7118]

That's a crazy speed... 1 chapter per day! No wonder students can't learn anything at school.

[@arthurguedes934]

now youre not on 7 grade anymore man!

[@bldjln3158]

How’s your senior year of high school?

[@wetbread1018]

I learned more from this then the entire school year thank you kind sir

[@miladahmady541]

me 2

[@oddtalkwithaubree]

me 3

[@lawscriteria]

Me 4

[@sickasadog47yearsago85]

Me 5

[@MordecaiPlayz]

Me 6

[@twistedbiohazard8861]

I still hate math

[@commanderteran3061]

The fact that this is 10 years old and its still something our teachers give us.

[@elly008]

I cry myself to sleep cus of why this is still worthy

[@hotman718]

pythogeoren theorem is way older than 10 years old, its thousands of years old

[@commanderteran3061]

@@hotman718 brother the comment is 4 years old 🫣

[@goof94729]

This man is an underrated legend.

[@MistyGee]

I'm taking my GED test on Monday......Idk how it will go but i did want to thank you because your videos have helped me with math tremendously! your voice is absolutely soothing and everything is explained perfectly ❤

[@grindngainnet7246]

I have to say thank you so much to Kha. Academy and this math teacher. I have not been to school in twenty years and previously failed my math test 2 times, I never even seen most of this stuff. Once I started with the Khan app going hard every day, I am proud to say today I passed my math test and obtained my GED! Thanks you guys are the best.. I will tell everyone about this Excellent Academy

[@jacquelinefranjul3016]

my favorite, such an enjoyable formula to solve. i love Pythagorean Theorem math exercises, please continue posting these videos.

[@WhatAboutBill]

Give this man and all of Khan Academy more awards!

[@christianaofunwa1882]

wow my teacher usually takes a loooonnnngggg time to explain a math topic but u explained it in less then 5 minutes thanks Mr Khan!

[@waterfaerie9]

I was supposed to learn this in pre algebra but my pre algebra didn't teach us about this

[@benny5967]

I’m doing six grade advanced math my lesson for corona break

[@unkwnpolo]

for the first time, i actually understand something clearly from Khan Academy. I’m not in the grade to learn this yet, but now i understand this fully thanks to this year’s learning of algebraic expressions.

[@ViperoK]

People always made this sound so complicated, but its so simple. Either way someone explaining it as perfectly as you did helps a lot, thanks!

[@G5.Giotto]

All you have to do is square the two shortest sides add them then find the square root

[@harryffoulkes6932]

+salvatore smith thats cool

[@catmaxxing]

Thanks

[@user-jd4so3hr3t]

Teacher: Teaching this in an hour and we still don't really understand. Sal: *HOLD MY BEER*

[@kuldeepsen3364]

Hi, contact me on my WhatsApp [phone] for any kind of help like questions solutions etc in any of the subjects. Try this, it's really helpful.

[@clairel5858]

@Ivan Carranza wait what? his name is sal...

[@umukaabhassan7954]

I wrote my exam and I have solved every thing it was simple thank you very much 😊 THE WORLD NEEDS PEOPLE LIKE YOU 👍❤

[@carrot4126]

HIS HANDWRITING 😭💕

[@YourLifeHasAPurpose]

You have just saved my grade eight test! Thank you! :D

[@riftplut0474]

Dam knowing this man is maybe out of college is insane

[@mollygibson1704]

i am very curious as to where u are now

[@teasauce3608]

@@mollygibson1704 haha, same. probably has a job now.

[@mariahhaviland4303]

OMG! Thank you so much this is so much help! Yesterday I thought I was going to fail my final you explain everything in detail Thanks! I feel so much better about this test. Bring It On!

[@mindofnachoz7528]

Did u pass

[@bethanyreiss8710]

Thank you so much I watched like three videos about this and yours was the one I understood!

[@terrygoodfella7528]

amazing. i really love what u guys are doing. its very cleaver and a win win for everyone! the world needs more people like u lot!

[@adin555Combatarms]

This helped me on my math final exam :P

[@summerc6022]

i still don’t understand LMAOO

[@brspirit6852]

all you gotta do is add the 2 numbers squared (a and b) and find the square root of that number which will give you c

[@faux110]

I'm actually not a math lover, but why is it so clear when he explains it😂

[@natasjaprice663]

I appreciate that these videos explain a concept before labeling. I learn better if I experience something and then label or categorize it.

[@Sheknowshea10_]

I’m so glad I came across these videos my teacher confuses all her numbers I don’t understand! Now this helped!

[@gdapangilinan14]

2019 hands off!

[@thenightbringer9770]

gdapangilinan 2020

[@slOw.burn.x]

i’m watching this a day before my semester test. let’s hope to god that i remember how to do this

[@lindsayb2465]

Amazing job at explaining. Thank you so much.

[@BISlover544]

These videos have taught me 3 things: 1. The internet is a much better resource of education than I thought previously. 2. Many things pertaining to math. 3. I've learned more watching 6 hours of these videos (total) than I ever learned in school in 8 years.

[@EmpireofTheWaves]

This really helped for my GCSE calculator Michaelmas exam paper 2

[@kaleabond8985]

Thank You! My teacher explained it and I had NO CLUE!! She gave me a link to this video and DANG...I understand it so much better! Thanks again! :D

[@potatowedges5402]

sameeee

[@annieliu35]

wow. i understand it so much quicker! and his hand writing is so neat! Thanks!

[@jeffaschwarz]

One tip when teaching beginners to take square roots (as in this video around 10 min.), after factoring the radicand, is to cross out every duplicated factor and put one on the outside. IOW: sqrt(108)=sqrt(2*2*3*3*3)=2*3*sqrt(3)=6*sqrt(3). There were two 2s and two 3s under the radical sign, I crossed them out and put one 2 and one 3 outside. There is one 3 left over which stays under the radical. Also, when you then teach taking the cube root, teach them to cross out every triple factor.

[@BoHimeChella]

Unlike most of you kiddies, I don't have a test tomorrow. I'm just an adult, arts major who looked this up out of genuine curiosity haha.

[@africanoblackaldo1569]

):

[@BoHimeChella]

Aww don't be sad!! I promise you'll do/be great in life. This math stuff won't define anything!

[@emilybarone9855]

I literally do have a test tomorrow

[@deshawnm.3808]

+Emily Barone me too

[@jonathanchris6384]

+Emily Barone same

[@cholasimmons]

"Numbers unlock the secrets of the World" :)

[@Ambientes]

Frank Simmons yes they do!5

[@kaseyhalbert3841]

I used to dread learning this theorem, but you made it look downright easy!!! Thank you so much:)

[@jishawn7657]

How can your digital handwriting be so advanced and just simply PERFECT?!

[@Slayin101]

ER MY GEEERD. THANK YOU SO MUCH LIKE SERIOUSLY I THOUGHT I WAS GONNA FAIL MATH YOU GUYS ARE AWESOME THANK YOU.

[@SharikaHossain]

Saad Shuaib You actually watched a vid on the Pythaorean Theorem? XD

[@babitarani6982]

...Don't judge him...I did the same thing.......:P.......NO JUDGING!

[@rJayisawesome]

Sharika Hossain I'm 19 and yes, I watched this. #dontjudge

[@SharikaHossain]

rJay Stillwell XD

[@Chalk....]

Sharika Hossain I know it’s been 4 years but why else would anyone be here

[@gorgeyxhuns534]

Currently on my midterm break. I have a test on the theorom of pythagoras on Monday. I'm filling my copy with notes about this and this video helped me a lot. I will tell you what my grade is when I get my result back!

[@MicaelaB.]

avakinlifeleah Cool! I hope you do well!😁

[@wallflowerboy5088]

What’d you get

[@einnor5005]

i'm honestly crying for the fact that i understood the lesson because of you. i want to give everything to you because of your help. THANK YOUUUUUU!!!!!

[@notfunnyhuman]

Thank you! I was really struggling with a worksheet in math but now I completely get it.

[@fraxure1x]

Who’s here because of quarantine

[@kuldeepsen3364]

Hi, contact me on my WhatsApp [phone] for any kind of help like questions solutions etc in any of the subjects. Try this, it's really helpful.

[@TaraNico]

Why is the letter "r " sometimes represented as the hypotenuse? Why don't they use "h" instead?

[@xUnleadedx]

+Tara Nico Its math. Its weird like that. When you are learning about business math and future values, the nominal interest rate is represented by 'J '. lol Why cant it just be an R for RATE lol.

[@davidwhelan6338]

Never heard of anyone shortening it to r, it's always h . R normally represent the radiuss of a circle.

[@jacobd337]

Tara Nico H usually is height

[@ViktorCaine]

and in physics, electric current is denoted as "I" and potential difference as "V". So confusing sometimes!

[@DizzyHips]

This guy is very good at explaining- very thorough and patient; a great teacher!

[@victordabreo6883]

Wow my son was struggling with this because his teacher made it confusing. You really helped him thank you!

[@rosie1720]

thank you so much lol never understood this

[@pumpkinface9495]

This was so easy XD. Thunbs up if you came here because your online teacher confused you. This man is an underrated genius.

[@ronaldoisthebestever]

@@wawiixyz he was underrated 10y ago

[@rikariskedlife]

@@wawiixyz I KNOW YOU! I HAVE SEEN YOUR COMMENT SOMEWHERE BEFORE- in a gaming video or a life lesson video. Dhar Mann? Maybe?? Hmm? I’m curious 🤨

[@beancate]

girl i have never touched on this topic before but ik for sure you explain things waaaay better than how my math teacher does,just from this vid alone.

[@j4m3s86]

I have been learning this in school and I have rly been struggling on this topic and this has helped me so much

[@TiffyCaliGirl]

Studying for my ASVAB and this is really helpful! Thank you for the video!

[@Ambientes]

TiffyCaliGirl good luck to you and blessings from on high

[@imfilledwithanxiety8715]

CANWJAHAHAWB PEOPLE IN TIKTOK ARE SIMPING OVER U AHAHAHDHDISWBISKAPAGANDD

[@Em-fi5be]

Thanks for the help! You explain it so much better!!

[@ruthcabajes4500]

This video really helped me!! Thank you so much!!! They have practices too, it's in the description if you wanna try it.

[@inosuke7065]

Hello past it’s the future the year is 2020 and we have carona virus

[@aikarukki7635]

oh hi im you from 2018

[@inosuke7065]

@William Shepherd bruh it’s a joke 😬

[@inosuke7065]

@William Shepherd your the one who can’t take a joke

[@thatsabingo6695]

If I ever become a teacher I’ll just put on a khan academy video and I’ll just answer questions

[@tysonmarcum7117]

I love the Khan Academy videos. They are so helpful!

[@eurekastorytime]

Thank you. This vid rlly helped!:)

[@lamyamcdonald5557]

Math was fun before they put the alphabet in it 😢😂 Btw thanks who knew it was actually this simple

[@Dalay_Robles]

anyone here from tiktok?😳

[@erets_ferrets__]

Here 🤚😌

[@72ratsinatrenchcoat4]

Yooo i am 😳🤚

[@thursdayplurbonym-boyporri8921]

Tysm, I was trying some problems involving this using just my math textbook and i got it super wrong and this helped explain it

[@kilikachuonaoro853]

Thank you so much!! I've never taken Geometry but you actually made it look easy

[@alexisschneider3688]

what app did you use for this?

[@TheCheekyMoneys13]

I love watching these videos for fun

[@bryannguyen8440]

+TheCheekyMoneys Great!

[@sophiav8941]

i lOvE wAtchIng ThEse VidEoS foR fUn

[@laibakhan2261]

sydney kaur weird

[@abigailfaith8338]

You look like Anne frank

[@magnificentniall]

this helped A LOT thank you so much

[@AlexanderHermosa]

this acctually makes sense now THANK YOU

[@antdee8ty7]

I am crying when I open my book 😭😭😭😢

[@shoaibheesam1577]

Thumbs up if you're a curios young lad that love to learn and came here when they're not learning this in school

[@xUnleadedx]

+Andrea Lopez lol honesty

[@perfectrhyme6692]

I'm here because I'm a young lass who has trouble with homework

[@biancasylee]

I'm doing it because my teacher told me to

[@potatofries3995]

Totally

[@ancientdew210]

shoaib heesam im actually 11 as well lol

[@mooncat3931]

Thanks you just taught me what I needed to know

[@leannehetherington9566]

I knew how to do the hypotonuse but forgot how to find out the shorter sides. Thanks for the help!

[@cactusjack854]

Same!

[@hitanshigaudani7525]

Math is a drama queen, it can’t seriously have that many problems!

[@clipsNshortsz]

#1 underrated comment of 2020

[@kovidhrammanikonda9133]

Hitanshi Gaudani math is not a drama queen, you are

[@90swiied82]

@@kovidhrammanikonda9133 your being butt hurt over it ur a drama king

[@Ad_Astraz]

@@90swiied82 You’re being butthurt over a KZbin comment.

[@callan.abby.n]

Why am I looking this up for science class not math

[@chandrimasaha3303]

This video explains far better than my brother's school teacher who is just in a rush to complete the syllabus. Today's teachers do not think about the students at all.

[@arsemah6093]

This is the best .It really helps to understand its concept and is easy to understand. for those of you who haven't seen it yet check it out.

[@mon3008]

Have my finals for math tmr 😰

[@SK4LAIN]

Who is here from tiktok 😳

[@flawns]

I'm about to go into trig, thanks man, I need a refresh!

[@kaisetic3150]

thank you so much!! you're a life saver