This 'Impossible' Homework Question has Baffled many Parents

[@ozymandeez]

I just used graphs: Draw the triangle, knowing the vertices are at (0, 0), (1, 0), (0.5, 0.5sqrt3) [Final y-coord is worked out using pythagoras, and the x-coord is the midpoint of the other two.] Now get your system of equations: (1) y = 0 (2) y = xsqrt3 (3) y = -sqrt3(x - 1) [Using y2 - y1 = m(x2 - x1), and m = change in y / change in x, and subbing in the points above.] Label the empty space between the triangle edge and the start of box 1 "b". Rewrite the points where the boxes touch the triangle in terms of a and b. That's (b, a) and (6a + b, 3a) Sub the first coord into equation (2) to get b in terms of a: a = bsqrt3, so b = a/sqrt3 Rewrite the second coordinate only in terms of a: (6a + a/sqrt3, 3a) Sub this into equation (3): 3a = -sqrt3(6a + a/sqrt3 - 1) Rearrange and solve for a: 3a = -a - 6a*sqrt3 + sqrt3 4a + 6a*sqrt3 = sqrt3 a(4 + 6sqrt3) = sqrt3 a = sqrt3/(4 + 6sqrt3) Rationalise the denominator and simplify: a = -(4sqrt3 - 18)/92 a = (18 - 4sqrt3)/92 a = (9 - 2sqrt3)/46 This gives us the same answer as in the video, but definitely isn't the easiest way to solve it!

[@ImmenseJ-tard8253]

Chinas elementary is crazy. Im pretty sure this is high school in america lol

[@concerned9890]

It’s just clickbait but yeah

[@Niclol50]

I found the area of the blue shaded region without using a calculator (I used it only when I needed to find the sine of 60 deg and to check how I should order the fractions so it doesn't equal a negative)!! So I found the value of a^2 , (2a)^2 , and (3a)^2 by multiplying the fractions together and distributing the terms. I found that a^2 = (93 - 36 sqrt 3) / 2116 , (2a)^2 = (93 - 36 sqrt 3) / 529 , and (3a)^2 = (93 - 36 sqrt 3) / 235.11 (recurring decimal). I added all of this up to get (1302 - 504 sqrt 3) / 2116. To find the area of the triangle, I used the sine theorem since it's an equilateral triangle. 1 / 2 x 1 x 1 x sin 60 deg = (sqrt 3) / 4. Then, I subtracted the area of the unshaded region from this to get (1033 sqrt 3 - 1302) / 2116. Is my answer for the blue shaded region correct?

[@RealQinnMalloryu4]

(1)^2(2)^2(3)^2 ={1+4+9}=14 {60°A+60°B+60°C}=180°ABC/14=10.40 10.2^20 10.2^10 2^5.2^2^5 1^1.1^2^1 2^1 (ABC ➖ 2ABC+1).

[@klauswolf9449]

Area of squares = (1²a²) + (2²a²) + (3²a²) = 14a² = (1302 - (504 x sqrt(3))) / 2116 = 0.20276294 Area of triangle = 0.5 x Base [= 1.0] x Height [= 0.5 x tan(60)] = 0.5² x tan(60) = 0.4330127 Blue area = Area of triangle - Area of squares = 0.23024976

[@storybuff4939]

Ah yes ! The trigonometry homework for elementary school

[@Effect_channel]

Use a ruler.

[@GaminghunterYTOfficial]

Exactly, why have our scientists worked so hard to make such complicated questions easier with tools, just for us to not use them😂😂😂

[@EditsOfAnim]

Bro is a menace to society

[@GoldenLegoStud]

​@@GaminghunterYTOfficialYou won't get any smarter from doing that

[@bjornfeuerbacher5514]

A ruler will give only an approximate solution, not the exact solution.

[@pellemandel4859]

Well what if it's not drawn to scale?

[@tedn6855]

I did it in my head and got sqrt3/(6*sqrt3 plus 4) which works out the same

[@cyruschang1904]

The thumbnail fails to specify it's an equilateral triangle a/✓3 + a + 2a + 3a + 3a/✓3 = 1 4a + 6a✓3 = ✓3 a = (✓3)/(4 + 6✓3) = (✓3)(6✓3 - 4)/92 = (18 - 4✓3)/92 = (9 - 2✓3)/46

[@aakarshkumar845]

The only data failed to mention was that its an equilateral triangle. If that was given it would've made the question solvable in mind

[@neil7519]

They did mention it in the beginning and also showed it as text

[@FloraLemonYT]

He did mention that, that’s why we know the angle is 60 degrees

[@Harsha_MC]

Area of triangle - (9-2√3/46) × 6

[@danieloblinger1199]

This is obviously an example in education of getting the cart ahead of the horse.

[@RyanLewis-Johnson-wq6xs]

a=(9-2Sqrt[3])/46

[@mvpzonegamer6711]

Area of shaded region is 0.22 unit ^2

[@bjornfeuerbacher5514]

Where did you get that from? That's wrong.

[@mjorozco3786]

I think the tts switched to ordinal numbers so confused like I got confused in the last piece of calculation

[@FreakyRufus]

Having an AI voice read out math equations is painful to listen to, it pauses in very odd places, and uses very strange terms, like referring to division as “upon”.

[@DriftinVr]

Im starting to hate these "primary school in china problems" like dude this is a 9th grade problem not a 3rd grade and they act like every 3 year old in china is walking around solving millennium prize problems

[@whitest_of_whiteout]

easy, it’s 1a.

[@ZDTF]

😢😢im faimure i cant do it when little kids can do it im going to 14 soon

[@very-smart]

I can do it and I am 8 I know calculus algebra coding and so much

[@rax1899]

Yea if you’re 14 and can’t spell failure then you might be screwed

[@s.o.m.e.o.n.e.]

​@@rax1899 If before commenting you didn't consider that english might just not be his first language, you might be screwed

[@rax1899]

@@s.o.m.e.o.n.e. if before commenting you didn’t consider the fact that he is already adept enough at English to construct that sentence, it isn’t a far fetched assumption that he would know the correct spelling of “failure”. You should’ve just said that he made a typo, because that argument holds more water than what you brought up.

[@s.o.m.e.o.n.e.]

@rax1899 but I dis consider that, it's just that you can't know and you're already assuming things

[@Monkey_D._Luffy507]

Area= √3/4 unit^2

[@bjornfeuerbacher5514]

That's the area of the whole triangle, not of the blue shaded region.

[@myintthuhtetg425]

​@@bjornfeuerbacher5514 Well, that "Monkey_D_Luffy" blah just said "Area" tho, not the shaded region

[@bjornfeuerbacher5514]

@@myintthuhtetg425 Yes, and that does not answer the actual question in the video.

[@md.sahjahanali5717]

Find the area of equilateral triangle, find area of the squares, subtract???? Like we know the value of a.

[@bjornfeuerbacher5514]

@@md.sahjahanali5717 Yes, it's that easy. So why didn't he do that, but chose to give only the area of the triangle? Could it perhaps, maybe........ be due to the reason that he did not bother to actually watch the video and see what the actual question was? :D

[@murk1e]

Just blocking any channel with AI content. It’s no bueno.

[@aerialz7175]

You can tell its human from the arrows it draws. It just uses a ai text to speech and possibly an ai generated script. However the Thick Of It is human made.