Watch to the end, the bonus footage is super cool!
Пікірлер: 129
@AndyMath15 күн бұрын
Did you like the bonus footage?
@rowrow_15 күн бұрын
Best plot twist.
@wanzo215 күн бұрын
Yesss✨✨ please do more with this format. Love ur vids
@neerojdutta785715 күн бұрын
Yes very much 🎉👍
@TristanPopken15 күн бұрын
I was trying to do the first bonus footage animation in my head to see if you can actually solve this problem with so little information and thought you couldn't. Actually seeing that the angle remains the same is pretty neat.
@Ramp4ge2815 күн бұрын
Yep
@abrarjahin884815 күн бұрын
Bro makes the best math question vids
@angeleocorrodead15 күн бұрын
A sausage triangle.
@wiader66615 күн бұрын
I can hear that too. I'm not native speaker and don't know all the english maths terminology. So for me it is i-sausage triangle. How exc...
@happystoat9914 күн бұрын
@@wiader666 haha, same for me, I was thinking I was the only one hearing that^^
@revanhaq24714 күн бұрын
Haha that's so funny, He's actually saying isosceles triangle if you guys don't know
@caliqm219912 күн бұрын
You have destroyed math
@alineharam9 күн бұрын
from now on, when you are suppose to say isosceles triangle, say: Eye-sausage-Lee's triangle. It might hurt saying that, but try it.
@andrewwilmshurst279314 күн бұрын
I start the video thinking 'how on earth would you figure that out'....then following along step by step, it's so simple 😂 Amazing job as always with these videos. Very fun to watch.
@DimaMuskind15 күн бұрын
Litteraly the moment I saw the picture, I thought that circles could be in any position, moving them in my mind _exactly_ as in the end of the video. Though I didn't think that angle would be constant. Very cool)
@z000ey13 күн бұрын
Well the angle had to be constant for the question to be answerable unequivocally, otherwise the answer would be a range of angles in between the case that a circle touches two sides and the case that both circles are equal. So I expected the constant answer :)
@DimaMuskind13 күн бұрын
@@z000ey yes, it had to be constant for the question; I meant that I'd say it isn't constant without the question)
@refflux221515 күн бұрын
Andy, i have found your channel by an accident. Since that tine, i always click asap on your videos. I really enjoy watching you solving all the problems. I wish you all the best! Keep up the good work!
@henrygoogle494912 күн бұрын
Bonus insights were awesome. More please.
@FurbleBurble14 күн бұрын
I really enjoy watching you solve stuff, especially when you highlight which theorems are involved.
@deniseockey620415 күн бұрын
I loved the bonus footage. It might have been a quicker way to solve the problem. I really liked this problem.
@SpanishGarbo15 күн бұрын
I try to do these or even guess what the approach would be, but I was completely stumped and subsequently impressed at how eloquently you solved that.
@BattlewarPenguin15 күн бұрын
Pretty exciting use of angles!
@Marty_P15 күн бұрын
Your videos are always fun to watch.
@aounelias14 күн бұрын
Love it!!! Keep it up and EXCITING 😊
@drivers9911 күн бұрын
That’s what I was thinking before the bonus footage. Nothing about the sizes of the circles was given or constrained but you got a single numerical answer rather than a formula with unknowns so it must be something that stays the same like you showed in the bonus footage.
@txikitofandango12 күн бұрын
Awesome problem and solution! I did it by joining the centers of the two circles. This creates a pentagon with three right angles and two isosceles triangles, one in each circle. If you call the head angle of one of the isosceles triangles x, the head angle of the other isosceles triangle is 270 - x. From there you can get the desired angle easily.
@TSK_KST_15 күн бұрын
How exciting
@matthewkendrick828014 күн бұрын
Bonus footage was exciting brother
@jimlocke932010 күн бұрын
At 1:50, drop a perpendicular from the point of tangency with the top side of the square through the tangent circle's center. Also drop a perpendicular from the point of tangency with the right side of the square through that tangent circle's center. Extend both perpendiculars until they meet. Construct a line segment connecting the centers of the two circles. This line segment is the hypotenuse of a right triangle where the sides are segments of the perpendiculars. Both isosceles triangles constructed earlier in the video are present. The interior angles of the right triangle are exterior angles of the isosceles triangles. Each exterior angle is the sum of the two equal interior angles, 2(90° - x) = 180° - 2x for one of the triangles and 2(90° - y) = 180° - 2y for the other triangle. The sum of interior angles for the right triangle is (90°) + (180° - 2x) + (180° - 2y) = 450° - 2x - 2y and equates to 180°, so 450° - 2x - 2y = 180°, 2x + 2y = 270° and x + y = 135°. So our ? angle, which equals x + y, is equal to 135°, as Andy Math also found.
@MHP4714 күн бұрын
A double how exciting... How exciting that is
@mrsqueaksrules13 күн бұрын
Seeing that the solution was not dependent on any dimensions was interesting! I was thinking the solution would be a line of every possible (x,y), but seeing the answer was a number independent of anything else was a surprise! Very exciting indeed.
@FabianEbert12 күн бұрын
Alright I subbed. I really enjoy this niche content
@CharlesB14714 күн бұрын
Very clever stuff there.
@Cray2TheZ14 күн бұрын
Nice job! Thank you!
@subroy712310 күн бұрын
This is doubly exciting 😊
@andrewcorrie893610 күн бұрын
That really was a fun one.
@fergalhennessy77514 күн бұрын
Really good graphics!!!
@GhostHostMemories9 күн бұрын
a bonus exciting? how exciting!
@dixonayres888814 күн бұрын
This is a great video.
@Geniustryingtosurvive15 күн бұрын
bro is a genius❤️❤️
@wychan757413 күн бұрын
Just prove the line joining the two centres of the circle is parallel to the 45 degree line. First join the centre of the upper circle and the upper left vertex by a line, this line bisects the upper white angle (45 degree) by property of tangent lines. Do the same thing for the big circle. The 45 degree line, the two lines joining the two centres and the upper and lower vertices and the line joining the two centres form a trapezium with both ends equal to 22.5 degree. So the line joining the two centres must be parallel to the 45 degree line. The rest is straightforward.
@caractacuspottsAZ14 күн бұрын
_______________________________ | | | LET'S PUT A BOX AROUND IT | |______________________________| How. Exciting.
@Danielruth4212 күн бұрын
That was slick
@Plikso8 күн бұрын
Indeed...exciting af
@rohitisnow349015 күн бұрын
Great!!
@Accou2515 күн бұрын
awesome!
@FlyGuy200014 күн бұрын
Do we get extra credit for the bonus footage?
@MrImoT14 күн бұрын
How exciting :)
@AdamEwart9 күн бұрын
It always looked about 135, but if it were 123 for example, and since I am shit house at this stuff, I'd have still guessed 135 and been completely wrong. So thanks for not making me wrong 😄
@user-ut7yp6vd2c3 күн бұрын
Correct me if I'm wrong, but there seems to be no need for the diagonal, just circles touching eachother and different but connected sides of a sqare. The solution isn't depending on diagonal anyhow.
@samkid12312 күн бұрын
How exciting.
@tylerduncan590813 күн бұрын
I love proofs that utilize the conservation of generality as a tool in their problem solving, because it feels more in line with how real math works. we know "θ" is constant, otherwise this would not be solvable, which is an artificially constructed symmetry, But there just as well could have been an inherent mathematical rule that said: for any pair of circles "C₁" and "C₂" inscribed in a 45-45-90 triangle "T" the angle T∩C₁-C₁∩C₂-C₂∩T is constant
@joeschmo62213 күн бұрын
Yeh, I figured that without either/both radii specified, the angle will always be a constant no matter the ratio of r1:r2.
@CptGallant15 күн бұрын
It's also true that the circles don't have to both be tangent to the diagonal of the square. You can change the size of each circle independently as long as each one remains tangent to one side of the square and the other circle. The defined angle will always be 135 by the exact same argument as shown in the video. The square and the diagonal don't matter at all, only the right angle in the top right. And we can generalize for any angle in the top right, a. You would end up with 2x+2y+a=360, so x+y=180-a/2 The angle could be 180, in which case x+y is 90 degrees and part of a right triangle. The angle could even be greater than 180 and the same argument works.
@rupom_167015 күн бұрын
I was just about to think the radius of the circles doesn't matter cause the r was irrelevant to find x+y (in the equation ofc)
@geometricimustafabey8 күн бұрын
Kare veya köşegene ne gerek var? Cevabın 135° olması için sağ üst köşedeki açının 90° olması yeterli
@abdelrahmanahmed716515 күн бұрын
is it posibole to solve most of your questions and get 600 in sat?
@dextervandendowe832914 күн бұрын
Damn you!
@eduardo51114 күн бұрын
how exciting
@clif18h14 күн бұрын
So now we have double exciting
@iainstruthers355914 күн бұрын
Is the 135 degree related to the fact that the square is bisected at 45 degrees? 135+45=180..? If it was the diagonal of a rectangle how would it change?
@casualmaster797015 күн бұрын
W video again.
@STAIRDROPPER15 күн бұрын
Pure brain nourishment
@AwesomeCamera87_HD14 күн бұрын
Dude aged a lot between recording and editing the video 💀 Btw what software you use for doing the equations
@ericwelsh48538 күн бұрын
Always 135 degrees? Wow! I did not expect that.
@anwerjivani154714 күн бұрын
I wait for your videos
@carlosruiz398014 күн бұрын
My guy must have schizophrenia or something cause he sees triangles everywhere haha. Your videos are amazing
@fergalhennessy77514 күн бұрын
W vid
@im_zinc7 күн бұрын
But mama i'm in love with a mathematician
@irvindalacourt717814 күн бұрын
clever
@conradklassen14 күн бұрын
Why didn’t my high school teacher teach us math this way? It would have made so much more sense using visual proofs! Not to mention that this method is way more FUN!!!
@Mike__B12 күн бұрын
The old man brain in me was screaming at the beginning "what do you mean what is the angle? they are just arbitrary angles...." a bit later I realize that the square box surrounding the whole thing was also an important part of information... this is why I do physics not math 🤣🤣
@grahamkay403414 күн бұрын
Is it significant that the ? angle is equal to 180 - 45?
@coldpizza245315 күн бұрын
Gg
@greypoint00014 күн бұрын
wow he aged triple exciting in this video
@JobBouwman4 күн бұрын
Just let the circles be the same size, then the angle = 180° - 2*(45°/2) = 135°.
@farmcat319815 күн бұрын
The angle of the dangle.
@AceSkates14 күн бұрын
Motion of the ocean
@sanjayharsha91725 күн бұрын
Eye sauce less triangle
@happystoat9914 күн бұрын
I'm not a native speaker and I kept hearing "I-sausage triangles", guess it's time to go eat :p
@Axels20092714 күн бұрын
why the hell does my gut start raising when im looking at this image as if im falling in my sleep
@soyezegaming8 күн бұрын
I have a question, why x is not equal to y?
@nitroglycerin663312 күн бұрын
Sisyphus reference
@z000ey13 күн бұрын
Actually solved it through the bonus process, getting 2*(alpha+beta)=360-90
@nineSG13 күн бұрын
2:30 Is that really a legal move to do? (2x + 2y) / 2 = x + y?
@weirdlittleangel5115 күн бұрын
@dncrews13 күн бұрын
2:24 but why is the graph so angry?
@goldwarmachine9 күн бұрын
Anyone else see an angry chameleon face at 2:04?
@nabil438915 күн бұрын
oof
@justrandompeople55514 күн бұрын
Hey there, i saw this online. I wonder if its solvable with relatively short solution or it's just troll The question (20%) / (5/8) * 15 ^ 2 + 60! - 2 =
@Sg190th15 күн бұрын
Looks 135 degrees but lemme try it out and edit after. Edit: I swear it was a coincidence.
@jeranuspeedruns11 күн бұрын
I don't want to be that guy but I decided to guess the angle by eyeballing it... And got the answer right ✅ 👌 😏
@jeranuspeedruns11 күн бұрын
I started by looking at the longer line of the angle from within the circle on the right and drawing a line the runs between the angle but makes itself perpendicular the the longer one creating a 90 degree angle. Then by this point I could tell there wasn't much to the rest of the angle so I made an educated guess that the angle on the left of my dividing line was around 45 degrees and by adding that onto 90, I finish with an answer of 135. This is certainly not a question you'd find on any exam papers 'cause that angle was way too literal and not abstract enough.
@elbayo42114 күн бұрын
No 69 involved, but still nice
@anonymousforgeorgia14 күн бұрын
i was waiting for your feet as extra footage…
@migmit14 күн бұрын
OK, without watching the video: if the problem can be solved, then the answer should be the same regardless of how we choose the circles. Which means, we can choose them equal-sized, which would make the other diagonal their common tangent. And it would divide the angle in question in two equal halves. Each one of those halves would be an angle of an isosceles triangle with an apex being half of the direct angle. So, the apex angle is pi/4, and our angle is 2*(pi - pi/4)/2 = 3*pi/4. Come to think of it, that's the solution: draw a common tangent until it intersects both sides of the square; our angle would be the sum of two angles of different isosceles triangles, and their peaks, while different, would sum up to pi/2 anyway, because they have a common side. So, our angle would be (pi - a)/2 + (pi - b)/2 = pi - (a+b)/2 = pi - pi/4 = 3*pi/4. OK, watching now.
@keith670614 күн бұрын
Without stating the angle measurement is in radians, only partial marks.