Your students, although they probably don't realize it now, are lucky kids...
@abhimanyuvarma284 жыл бұрын
Oh trust me, I'm sure they realize it. What Eddie Woo does is legendary.... too legendary to be unnoticed.
@bach5563 жыл бұрын
Are they kids ? I doubt that
@thefeof61613 жыл бұрын
@@bach556 yeah, he is a high school teacher
@schebbi3 жыл бұрын
@@thefeof6161 In what world are highschoolers taught complex numbers
@colins65053 жыл бұрын
@@schebbi Earth, we were doing complex numbers in algebra 2 lol
@xBobz997 жыл бұрын
I don't actually remember being taught deriving that formula. Neat!
@factsverse99576 жыл бұрын
It's a simple derivation actually.
@KarachoBolzen5 жыл бұрын
Kenji Gunawan yes but you never really think about it
@MTLTV-eu4nv5 жыл бұрын
For those of you who have been taught about resolving vectors to their horizontal and vertical components, you can imagine that side A is a vector pointing toward B, point C is the origin of a Cartesian (X/Y) coordinate plane, and side B is the positive X (horizontal) axis. The altitude is the vertical component of that vector, which is equal to the length of side A multiplied by the sine of angle C (a * sin C). Remember that the area of a triangle is equal to 1/2 * b * h, so you substitute a * sin C for h to get 1/2 * b * a * sin C. Although, I was not exposed to the idea of using trigonometry to compute the altitude of the triangle, I was easily able to figure that out without watching this video in its entirety.
@vijayakumardhanasekaran21814 жыл бұрын
@@factsverse9957 a
@squarerootof-13072 жыл бұрын
you have 314 likes as of now, which is the floor of 10pi.
@VanilloSchachner5 жыл бұрын
I am a Mathematician myself and i sometimes watch your videos just to experience different kinds of explanations. This is a very basic one and i would most likely do it the same. But there are some other videos which I really like (maybe because I have forgotten some background information). So thumps up and go on :D
@Cato_Minor2 жыл бұрын
@Mayank Kumar Doubts in Maths?
@iAmMeAndYouAreYou Жыл бұрын
Not a mathematician but I'm studying mechanical engineering. His videos are great! As you say, for different kinds of explanations. I find I really like the visual approach he takes. Not just "this equation does this, go memorise it!" He has one about pythag and shows why a²+b²=c². Worth a watch!!
@haywire38956 жыл бұрын
I wish I had a teacher like him 😂
@WigglyWings5 жыл бұрын
Who the f**k here doesn't?
@snowcake28464 жыл бұрын
My physics professor teaches like him.
@tasnimulsarwar91893 жыл бұрын
@@snowcake2846 lucky lucky. Anyways, happy physics for you.
@SeanBenson234 жыл бұрын
As many have said, my life would have been very different had I had you as a math teacher. It inspires me to be a math teacher. Your videos have a ripple effect, Eddie. I use many concepts in my tutoring.
@YigitmK5 жыл бұрын
Even i am a graduated engineer, i enjoy and actually learn basic principles and logic of math from your videos. Keep teaching!
@isabellarush67656 жыл бұрын
"Does that make sense?" aah omg wish all maths teachers were like you!! I would actually take A-Level you're such a good teacher!!! Thank you so much!!
@anish71835 жыл бұрын
are you from england
@itachi63365 жыл бұрын
@@anish7183I think he/she/non binary is
@bakeymykakey4 жыл бұрын
rip wales
@redfrommars53666 жыл бұрын
6:47 Teacher: So far so good Student: Oh... No... 😂😂😂
@evoman3dfx6 жыл бұрын
happy face emoji
@tony3592 жыл бұрын
I had the privilege to have one or two teachers which a similar passion and smile than Mr. Woo. Those teachers are the pillars of our society and we should all acknowledge their massive contribution to the world. Thank you Sir for who you are.
@ashishkiift5 жыл бұрын
The students are so fortunate to have a teacher like you Eddie .. you are so knowledgable and approachable .. most of the people love or hate math because of the way they had been taught the subject ! Love from India !
@kylehudsons6 жыл бұрын
wow!!! never knew that ½absinC could be proved that easily~ i just kinda take it for granted
@sasidharputtaparthi13503 жыл бұрын
The intensity of involvement and joy of teaching maths..... I never seen in any teacher..🙏🙏🙏
@danvindsouza27256 жыл бұрын
*You Are one of The BEST Teacher wish you were teaching in our school*
@djgulston6 жыл бұрын
I already know this, but I still love watching your videos. It's so entertaining.
@jiren66373 жыл бұрын
same
@3nails4you4 жыл бұрын
A great way to help remember this is that the formula is ALSO the one you use for RIGHT triangles - it's just that sin(90 degrees) works out to 1, so we don't write it in the formula.
@blank-vw2sb5 жыл бұрын
loving you Eddie woo... I wish I had a math teacher like you. great
@georgeh13522 жыл бұрын
A brilliant teacher, you should be teaching teachers Mr Woo.
@andrewlim55234 жыл бұрын
Wish had teacher like this when i was in college learning geometry. Very neat and understandble because the way he explains things.
@ghadahalqahtani8346 жыл бұрын
Thank you For recording all these amazing lessons You'r the best teacher ever🌟
@mathenthusiast66357 жыл бұрын
I LOVE YOU WHY ARE YOU SO UNDERRATED
@affaanansari62276 жыл бұрын
300k subs isnt being underrated
@chewyhirai71666 жыл бұрын
Math Enthusiast.... Also a Kpop Enthusiast??
@rubikscuber11146 жыл бұрын
army??????????
@chewyhirai71666 жыл бұрын
@@rubikscuber1114 Aye!! This is my other KZbin Account where I just focus on studying.....Srsly how can you avoid not seeing the Kpop vids and completions that pop up in recommended.
@geekyprogrammer48315 жыл бұрын
Underrated? This professor is one of the top ten teacher in the world. Your KPop is underrated....
@justrevision68205 жыл бұрын
Thanks again Mr Woo, Math never fails to disappoint!
@rakshikab19804 жыл бұрын
You are an incredible teacher... Its really nice to watch ur way of teaching.
@kanishkkaushal5496 жыл бұрын
Your videos are really cool man.....Helping me in improving my teaching skills
@aadiesood12213 жыл бұрын
Where do u teach Sir? I am from India. You also may be....?
@jayantadinda93756 жыл бұрын
Thanks sir it helped me a lot. Your explanation was too good.
@r12342334 жыл бұрын
Is it strange that I watch you're videos for fun.... I'm gonna be so good at math now, thank you oh mighty math guru!!!
@fordprefect19255 жыл бұрын
you're a great teacher. Wish i had you instead of my maths teacher.
@vashisthachaturvedi32576 жыл бұрын
Hi. I really like the way you make students understand. Just 1 request.May you make a video on the relationship between rhombus' side and diagonal
@shadowhunter2416 жыл бұрын
I see triangles and an eye....
@sangeethasenthil21746 жыл бұрын
David Robinson illuminati!!!!!
@infinitesimotel6 жыл бұрын
iloominati konfirmed ! LMAO
@ceridwenmae52066 жыл бұрын
shat
@Gmtz014 жыл бұрын
Savage...
@imtiazahmedshaikh53674 жыл бұрын
u have good sense bruh
@dcs_06 жыл бұрын
I did the Intermediate Maths Olympiad last Thursday, and one of the questions required this formula. I forgot the factor of 1/2 D;
@Phillycrake6 жыл бұрын
These videos are awesome!
@pepijnvandaalen88515 жыл бұрын
He can exlain like everything so clearly
@pepijnvandaalen88515 жыл бұрын
Explain but whatever
@vishalshow2955 жыл бұрын
Hello Sir, I am an also Math teacher from India. Your Videos are very helpful by which I teach my students. thank you for making the free video. Can u provide us the materials and formula sheets pdf which you mentioned in the video, it will be very helpful... thank you once again for the videos....
@reznovvazileski31937 жыл бұрын
My math teacher used to mess us up even harder by giving us everything except the included angle so we had to work that one out knowing the sum of the angles = 180deg in a triangle xD He didn't nearly explain it as well as you do though.
@monoman40835 жыл бұрын
you explain the basics.good, good good..
@CletusBoyce4 жыл бұрын
I knew the answer before Eddie showed it. Whahoooo I can do high school trig. Finally! 🤓
@angelstarfire5 жыл бұрын
That's awesome! Thank you!
@seanpeters85516 жыл бұрын
pretty sure if i had this guy as a math teacher, i wouldnt be majoring in biology
@Subhajit_Paul1236 жыл бұрын
What is wrong with biology? It is an interesting subject as well.
@tuckercoffin21643 жыл бұрын
Me: randomly learning math on Sunday because of how fun these videos are
@SkeleCrafteronYT6 жыл бұрын
MIND BLOWN
@putindavid19112 жыл бұрын
Every time I see your videos I fell like I want to become your student....
@lohgock_y Жыл бұрын
Really nice explenation! Hey, im wondering, does the formula also work with a triangel, that has an angle of more than 90 degrees and your missing the hypotnuse? Cuz you would kinda draw a triangle outside the triangle which only shares one side of the original one
@dildobaggins27593 жыл бұрын
I feel like ime part of the class on a Sunday morning this is fun...
@johncormier4 жыл бұрын
We learned this stuff at breakneck speed. Our teachers aren't give much time to reach this stuff. I wish math was more like this.
@zouzou61642 жыл бұрын
if i had to have anyone teach me maths this guy would do the job perfectly
@krishnvi1643 жыл бұрын
Hey sir , I am from India and I am biggest fan of your teaching ,😊😊🙈
@claireli884 жыл бұрын
If the length a,b and c of all the 3 sides of a triangle are known, we can still find its area by this formula A = sqrt{s(s-a)(s-b)(s-c)} where s = (a+b+c)/2.
@JashXD2 жыл бұрын
yes that’s heron’s formula
@MHSTAR-ej8cj3 жыл бұрын
This is amazing, can I have the pdf of the formula sheet? It will help me ❤️
@antwidavid3893 жыл бұрын
Naaaahhhhhh my mind is blown😮🔥🔥
@Qermaq2 жыл бұрын
You noted that it should not be a right triangle, but you didn't mention that this formula will also work for any right triangle UNLESS c is the hypotenuse (as if c is the hypotenuse, C=pi/2, and sin(pi/2)=0, this formula would give an area of 0 in this case). If you use a leg as c it'll work super. As a, b and c are given, could just use Heron's Law and no trig needed. ;) I know, it's a trig class. But Heron is the most powerful tool for area if you know all the sides.
@RonBrumleve4 жыл бұрын
I think what the latter student may have intended by her question is, "What if you know sides a and b and angle A" - how then would she calculate the Area of that triangle without knowing its height?
@rishiraj19866 жыл бұрын
Which grade he teaches 😯😯
@leonidmiroshnik95426 жыл бұрын
Rishi Raj all of them
@hinducatalyst93315 жыл бұрын
Really a Richard Feyman in mathematics....
@lavendalee76926 жыл бұрын
Awesome maths teacher.
@sakmannakki72947 жыл бұрын
over HEAAA
@karlcorrz6 жыл бұрын
Sakman Nakki *NAO OVA HEIA*
@leoyang1.6187 жыл бұрын
Love it!!!!
@sdhoang3 жыл бұрын
Don't need to go to math class, just see this guy videos
@rajmfh4 жыл бұрын
I wish i had a teacher like you when i was in school
@brandonperkins92822 жыл бұрын
This guy can go through all that in 10 minutes yet my teacher would take lessons and I’d still understand it less than I do now
@TheActurialRepository2 жыл бұрын
You are a great guy
@bibi669665 жыл бұрын
Thank you Eddi, your videos are helpful, however, I prefer the explanation to be always on the big whiteboard
@sihamkessar42956 жыл бұрын
Very good explanation
@JabbaWockeez_5 жыл бұрын
I wonder if he would have made it easier for me on math - college level
@harsharoy13686 жыл бұрын
Yeah components i love those
@paulg6874 жыл бұрын
Its very nicely presented - he's a good teacher. However, one thing I'd point out is this is the area of half the triangle not the full triangle drawn. You could easily have drawn a right angle triangle, wrote the formula A = 1/2 b * h and replaced h with a sin x by the trig definition (which is effectively what been done but inside a bigger triangle). Maybe this way shown was to be used later for something else?
@tjs0014 жыл бұрын
Sorry, but that's incorrect. It's the area of the large triangle! Maybe you missed that he is simply substituting an alternative to 'h' into the original 1/2 base X height formula for the large triangle. Maybe just do it yourself on paper and you should see it's right.
@paulg6874 жыл бұрын
tjs001 I think you may have misunderstood my point. The point is he drew a triangle and created another triangle from it - a right angle triangle. There was no need to create the first triangle. He could have simply created a right angled triangle. The area is correct- for the right angle triangle - not for the big triangle that he dissects to create the right angled triangle from.
@tjs0014 жыл бұрын
@@paulg687 Paul, you still seem to be saying that he has created a formula for just the right-angled triangle, when he has derived a formula for the the large, irregular one - in fact, any triangle. That was the whole point of drawing the initial triangle - to derive a formula for finding the area when it's not right-angled. Someone else said the same as you further down in the comments, and he was corrected by another poster giving a similar response as mine. I wonder if you're thinking the 'b' in the formula refers to the base of the right triangle. It doesn't - it's the side of the large triangle labelled 'b'.
@paulg6874 жыл бұрын
@@tjs001 Yeah sorry, I totally messed up what I meant to say. That was wrong, I was confused with a different video! I was trying to explain that the area defined for the triangle A=1/2BH should be derived to explain how that is derived and not just shown, since this is the area you are defining but in terms of sin. He shows how the right angle triangle is defined but not the regular triangle. So: A = 0.5 (AD)(BD) + 0.5(DC)(BD) A = 0.5(BD)(AD+DC) A= 0.5(AC)(BD). Or 0.5 BH as he's defined. (D is the intersection of the perpendicular line creating 2 right angle triangles). Now you sub sin in that and get the formula You were totally correct, sorry.
@joshlucas42696 жыл бұрын
Wouldn't that forumula only give you half of the orignial triangle? So you would have to work out the other half aswell?
@FootballPsychoPS3T6 жыл бұрын
Josh Lucas The area of the entire triangle is ½bh. I hope that that is clear. The way that the formula is derived simply replaces the h term with asinC. Since asinC = h, it can be replaced to get the area of the entire rectangle. The area of the red triangle would have a base length that is smaller than the entire big triangle.
@snow99207 жыл бұрын
Can I grab a copy of your formula sheet badly needed :
@entropy51576 жыл бұрын
Why not just use Pythagoras thm to find out h nd find the area with the basic formula???!! If we know a,b finding h is easy!
@rhpmike5 жыл бұрын
I think you'll find that if you review the Pythagorean Theorem, it requires a right angle and this is specifically for when you do not have a right triangle.
@ali-khan2 жыл бұрын
I have no idea what you are saying but I'm engaged the whole time
@saiavinash74326 жыл бұрын
its better to have just 2 pieces of information b and h than to have 3 b h and angle c cause you know simplicity is nice
@picklerick50946 жыл бұрын
It really sucks here in Malaysia we don't have teachers like you and we also seperate our Mathematics into 2 different subjects, 1 being the the basics and the other is calculas, trigonmetry etc.. All they ever each us is just memorise and apply during test, they never want us to learn and we are given only 2 years to cover all the complicated ones.
@ExtrusionXDesigns6 жыл бұрын
wtf there is? im from malaysia and theres no such thing tho, what grade are you in?
@syringe29255 жыл бұрын
thailand,also
@yeetoryeeted53636 жыл бұрын
Can u teach me everything plz
@beautay44723 жыл бұрын
Just watch em vids! :D though you probably already have :)
@PatClevenger07094 жыл бұрын
You could have pointed out that in a right triangle, the included angle is 90°
@benkd75213 жыл бұрын
wow i learned so much in few minute thank you sir
@Quantum_Magnus6 жыл бұрын
This has to do with the Law of Sines/Law of Cosines.
@Proccito6 жыл бұрын
I think I missed something: How is that the whole triangle? I saw him splitting it in two, but what if those two triangles arn't the same?
@dinmarlinwelcabural65095 жыл бұрын
I never heard this formula, i only know the Herons Formula. Can someone tell me the difference of herons formula and this one if there is?
@eTech93005 жыл бұрын
Heron's formula uses only the side lengths to calculate the area; this one uses two side lengths and the measure of the angle between them. Hope that helped.
@dinmarlinwelcabural65095 жыл бұрын
Eli Cole so u mean i can use either of the two and come up with the same answer?
@eTech93005 жыл бұрын
@@dinmarlinwelcabural6509 Right- the area of the triangle is the same regardless of which formula you use to calculate it. The choice to use this or Heron's formula just depends on what information you have to work with.
@shivaranjan18256 жыл бұрын
Hey there, Tan C = h/b h= b×tan C If c --> π/2 What happens to h and a in Eddie's triangle
@Faisal-os9ks5 жыл бұрын
Than the triangle would become a line, as pi/2 radians is 180 degrees, the sum of all angles in a triangle.
@monoman40835 жыл бұрын
i can't see your mic but the sound is ok.. the white board is too low, claim compensation for bodily injuries...
@shahbazsheikh35454 жыл бұрын
Well done Mr. Woo for keeping your calm and carrying on while these brats talk amongst themselves during class.
@kabirwaljee86854 жыл бұрын
also area = 1/2 bc sin A = 1/2 ac sin B also works for obtuse angled triangle where altitude is outside the triangle. This could have made more interesting for the students. Great job Mr. Woo. I am 72 and just discovered your channel.
@xid17vishwarajsharma113 жыл бұрын
Actually not a rectangle but a parallelogram.
@alim75324 жыл бұрын
You shoulda showed them in a right angle triangel sin 90° =1 therefore the sin C is not written.
@vaishnav40354 жыл бұрын
You are a genius 😍😍
@zz-gz6yt2 жыл бұрын
how do u know the value of the angle C
@protaotogamer15034 жыл бұрын
epic video
@CletusBoyce4 жыл бұрын
Eddie Who is my hero. 🤓
@michealryan234 жыл бұрын
800k followers and no adverts. Wow
@jonathan35045 жыл бұрын
But what happens if I have a triangle in which I am only given the measures of a, b, and c, but no measures for any angle? Can I still find the area of the triangle? (Assuming that this is not a right triangle)
@SanjeevKumar-js4mu5 жыл бұрын
Use herons formula
@smartypants18042 жыл бұрын
thank you sir😃
@camiloperezchaves98952 жыл бұрын
Good damm matgs are amazing
@SureShot556 жыл бұрын
Hello sir. I have a question that how would I be able to find 'SinC'? Will it be given in the question or something else...? I'm a little confused. By the way another great lesson. Thank You.
@carultch3 жыл бұрын
Either the angle C would be given, or enough information to get the angle C would be given. Then you enter it in the sine function on your calculator, to get sin(C), making sure the calculator's angle unit is in the mode that is consistent with your problem. You might be given the other angles instead of angle C, such that you need to use the 180 degree rule for triangles to get angle C. Or you might be given all three angles, such that the other two angles are red herrings and not needed in the problem.
@MrSanTang4 жыл бұрын
You only replaced an unknown value, h, by another unknown Sin C.
@sayakchowdhury70687 жыл бұрын
Generally it is not
@sodiboo3 жыл бұрын
what if i don't have the angle but the side length of c? 3 side lengths can only represent 1 triangle, right? so i should be able to get the area, but how do i get the angle between a and b then?
@93083233 жыл бұрын
Not sure how much you still need it, but for your question, you're gonna have to use a different formula, which is called Heron's Formula.
@birendersingh59436 жыл бұрын
I want to know how will you calculate sin c if it has any random value say 24? Any help would be great
@factsverse99576 жыл бұрын
Use a calculator 😂
@krutoyinfo6 жыл бұрын
why everyone is speaking???
@kiriakoz6 жыл бұрын
Because they're kids.
@MrNpkellogg6 жыл бұрын
you didn't talk like this in MY math class. I remember one guy got thrown out of class for talking. kids these days are spoiled. and the person who said "Because they're kids" is correct. JUST kids...they act like they think they're still in recess.
@billjump63596 жыл бұрын
what grade are those kids from!?
@jkoprivat3 жыл бұрын
Please share your formula sheet.👨🎓
@sameerhussainsiddiqi87944 жыл бұрын
Why not using tan and cos...why only sin
@carultch3 жыл бұрын
Because the side we know is the hypotenuse, and the side we want is the opposite side. Hence opposite/hypotenuse is the ratio that matters for this problem.