Missing Square

[WillizeTheMan]

fuck math

[Robobeastliness]

Holy shit cats

[rockstar8936]

you ate it loll hit easy when you turn the happens bak wars the yellow and the green and red and blue it transform so it not like the one you see on the top but it transforms into a little triangle which is to big there fore having one square missing xoxox-rockstar8936

[mick5961]

it went in YO MAMA

[TheKFITTY]

jvillinger is correct.

[origGoof]

I thought about this. Your shape cannot be a triangle. 13 and 5 are co-prime (meaning their greatest common divisor is 1). In theory the hypotenuse of the triangle should not pass through and dots on the paper, but it does at the top of the red triangle and bottom left of the blue one. This proves that the shape is not a triangle, but rather some irregular 4-sided polygon.

[soupywoop256]

Anyway I'm learning geometry I better know this if it's easy.

[soupywoop256]

So easy, but hard to explain it. I may make a video. The green figure is longer and it does not fit in the yellow figure.

[seumulhana21]

I will never understand how this works! (Well, I can.. I just don't have the patience right now LOL!) Imagine this triangle and it's shapes all in 3d form.. Imagine each shape is a container filled with water up to the rim.. Arrange it as how example no. 1 follows Let's say that sum of the water in all the shapes are...exact 30 gallons.. Then you rearrange the shapes like how it is on example number 2.. Now there's a missing space BUT it still holds the 30 gallon water..

[jvillinger]

lol at the people who reply to my above comment.

[playingfor4]

Where did it go :) dont feel sad : here is the answer :D watch?v=aC70mt-17MQ&feature=re­lated

[FruitNinjaCraft]

The Red triangle has a different angle to the blue triangle which leaves a gap of a full square

[iamheyyou]

since u switched the red and green it is one less

[pawsandtales1]

It didn't go anywhere. Both solutions have the same area (32.5cm^2). The ratio of the red triangle is 8-3 and the ratio of the blue is 5-2. These give different answers which means as you change from one triangle to another the angle of the triangle changes ever so slightly. It's not a straight line. The top solution is slightly concave and the bottom solution is slightly convex. This slight difference takes up the area of 1 square.

[quidproquo2004]

The red and blue triangles do not have the same slope.

[Dantetran11]

I'm dunno

[n2neeed]

this video is fuckin epic when your high!!!!!

[mrroboto8269]

you just rearanced the green shape its not missing

[CotaLax3o3]

MY MIND IS FUCKING BLOWN

[majypook13]

potty man ate it

[Mrsleticiajonas]

its how its set up

[theflyingmonkey145]

It went to California in first class. :)

[Felipipe1]

chuck norris has the missing square

[TyranhTV]

Maybe it went to Florida..

[PyhaMikrofoni]

thats the same thing as i draw a square, cut it pieces and then rearrage it differently... ofcourse it now takes different amount of space

[jvillinger]

It didn't go anywhere. Both solutions have the same area (32.5cm^2). The ratio of the red triangle is 8-3 and the ratio of the blue is 5-2. These give different answers which means as you change from one triangle to another the angle of the triangle changes ever so slightly. It's not a straight line. The top solution is slightly concave and the bottom solution is slightly convex. This slight difference takes up the area of 1 square.

[HarshawJ]

@jvillinger

[HarshawJ]

@jvillinger exactly right

[alex68716]

@jvillinger  WHAT!?!

[jay112711]

@jvillinger neeeerrrrrdddd

[jvillinger]

@jay112711

If that's true then why are you also watching a Mathematics video?

[jay112711]

@jvillinger because i like zack scotts videos

[jvillinger]

@jay112711

So you think he is a nerd too then?

[PowerfullPC]

@jvillinger ohhhhhhhhhhhhhhhhh!

[RyuLoki]

@jvillinger Ya, those terms and all that!

[XempireX18]

@jvillinger ya, the slope of the 2 triangles r different so the big triangle is messed up

[Nivek2017]

@jvillinger Information overload. X-X

[117starpower]

@jvillinger WARNING THIS COMMENT WILL MAKE YOUR BRAIN EXPLODE IN ONLY 15 SECONDS!

[myydraal585]

@117starpower Your brain will explode from grade 9 math? Weird

[117starpower]

@myydraal585 i just hate math dont blame me im not born to be a fucking nerd:P

[TimJSwan89]

@jvillinger that means that they dont have the same area

[jvillinger]

@TimJSwan89

Actually they do. Both triangles have the same area. Case in point, neither of them are actually triangles.

[SamFisherCell]

@jvillinger Im12 and what is that?

[bleachangel8]

@jvillinger Damn. I didn't understand any of that, but i bet it was smart ^^

[AlleyCat1511]

@jvillinger Can u repeat that in english

[DaJoshDude]

@jvillinger O_O I'm confused D:

[nikko999100]

the missing square went into my pant

I'm sorry

[joshuak9able]

Um of course , if you rearrange something............it CHANGES

[natpeera]

the big one area is 13*5/2=32,5 cm^2

the up one is red+blue+yellow+green= 12+5+7+8=32 cm^2

and the down is 32+1=33cm^2

this happen because the hypotenuse is not straight!!!

sorry from my english! :)

[MrGreedIsGood]

Simple answer: The big triangle is not similar to the small one.

[HeyHiNicole]

It's not a straight line at the top.

& the tip is longer.

If you just take them out, it will fill the missing square.

[q41n]

its not a real triangle

[adam6638]

Wow. But 8/3 ≠ 5/2. It's not actually a triangle.

[Ferretphil]

@adam6638 wow so true ive never noticed that before

[Cocomushed]

people say its the curvature of the top line, but then how could that be when you have done this with the same blocks in real life?

[Shadowblades55]

its not excactly the same the blue tringle is barely jusy barely on the yellow an iff i cut it a bit and put it in piece by piece it fitss the square

[ZOMGxTAKEDOWN]

Chuck Norris ate it....

[HaveYouSeenMikeHawk]

HOLY FUCKING DONKEY TITS IN MY NIGGER ASSHOLE HOW THE FLYING MONKEY PENIS DID YOUR CUM GUZZLING SELF DO THIS?!

[ZOMGxTAKEDOWN]

@HaveYouSeenMikeHawk teretz? lol just kidding

[stroople]

@HaveYouSeenMikeHawk cmc rofl!!!!!!!

[litosj33]

hello deep

[JustinCompSpec]

There aren't a triangles, there have 4

[bcaro]

Haha, you little devil ! This isn't a triangle to start with !!!

[Upsilonofficial]

the hypotenuse of one side is curved

[MrGreedIsGood]

The red triangle is not similar to the blue one.

If you made this figure parts as one, you can't form a triangle.

[NiklasErOver18]

The 2nd. "triangle" isn't even a triangle. It has a 4th angle.

[TheSAM321]

since the hypotenuse isnt comepletely straight, it is getting the area from there

[NiklasErOver18]

The one where the square is missing, is not evn a triangle. It's has three angels. Where the red triangle meets the green, there is a tiny angel

[hijackdrc]

@NiklasErOver18 whoa, three angels, where did you get that angels, from charlie, you're probably chinese

[NiklasErOver18]

@hijackdrc No. Im danish.

[LordWhorfinX2]

"Heighth" is NOT a word....it's "Height".

[animalcrossing101000]

11,9 Is The Answers 11 By Down And 9 By Horizontal

[uoymert]

Since both triangles has the "same" (not really) opposite side and adjacent side and the orientation of the blue and red triangle is changed. Law of similar triangle, the angles of the compared angle and length has to be the same and factors respectively.

[uoymert]

Blue tri opp is 2 and adj is 5, its arctan is 21.8014 deg. Red tri opp is 3 and adj is 8, its arctan is 20.5560 deg. As this will be the angle of the left angle.

For big triangle (the whole one) opp is 5 and adj is 13, its arctan is 21.0375 deg.

[uoymert]

Which means the angles of the far left angle of all triangles (both big, red and blue) are different and therefore, they are not the same triangle. In fact, both of the so called triangles (I mean the big once) are not triangles at all. They are a shape which has 4 sides and we call it quadrilateral.

[deathangel538]

6th from the left on the bottom

[Ralokone]

ok guys, let me something very basic

the slope of this triangle does not cut evenly through the squares

take a close look, if it cut exactly midway through this wouldnt exsist

its just math playing a trick on your vision, mathematically these triangles make perfect sense

[geraldsy]

The triangle on top is not exact.it has excess.therfore if you cut that excess,it will become a one square. Try doing it w/ a measurement of 1cm each square or double the size you will see the excess one. The excess one there is 4 squares horizantly. so if 4 squares = 1 cm rite? So thats the answer/ haha :D

[Ralokone]

@geraldsy the two triangles are exactly the same

[geraldsy]

@Ralokone yahh thats what im trying to tell. the 2 triangles are the same, on the vid.its just an illuson because you can't really see,but if you make your own you'll see the difference. try makin 1unit there as 2 units, so you can see really wheres the part of the mixing square. :D

[lennic95]

@Ralokone If it's a and b are the same and a square goes missing the culprit must be c (the hypotenuse).

[k750ix2]

the lower one gets a little longer and creates a square

[Grayhams11]

up your butt and around the corner

[LoloNBobo]

This was on the wall in my maths classroom.

[barterer124]

HEY THATS NOT DISSAPEAR, THE RED PART HAS THEE MATERIAL TO FINISH

[basketballdude138]

i think u ate it when it was off camera jk lol

[legonerfer27]

there was just a brusspup video on this :)

[ClayGH24]

Yea missing square is made up by difference in slope easy solve

[beanerman9111991]

Is it in your pants?

[gemadiktuz]

@beanerman9111991 yes , yes it is

[PukeOfThePukes]

@beanerman9111991 where else would it be?

[beanerman9111991]

@PukeOfThePukes

In his other pants.

[trane23021996]

it went to bar XDDD

[lmc6506]

IMPOSSIBLE!!!

[TheNintendoviews]

Watch that video response mofos!!!!

[kenjumba12]

ththe tip of the blue square thts outside the frame and the uneven line and/or slope from the red triangle is the missing square

[sjsawyer]

Wait a second... aren't you the guy who was killed by a huge spider?

[mercusqc]

Lol the Chuck Norris answer got more thumbs up

[Luis0J]

when the red piece is in bottom left and blue piece in top right, the entire slope will be a super wide "V" that takes up an area of half a block. when the red is in top right and blue in bottom left, the entire slope will be a mirror image of the wide "V" along a straight line from bottom-left to top-right; twice the distance from the wide "V" giving an extra block

if you add up the area of each of the pieces you will get 32

while the area of the triangle/quadrilateral is 32.5

understood?

[bluedrago505]

It went into the slope, if you put the two on top of each other, if the shapes are cut perfectly, the slope wont match up. If you stretch the square from the bottom left to the top then it will match.

[Pestilence86]

The slope theory is good. But ill go with "chuck norris took it"

[LittleBigGirlie]

i think my sister ate it well she keeps saying she eats my stuff when it missin

[mistermario613]

i took it

[wrylie188]

does nobody else see the little white square at the bottom? am i the only one? really?

[10kcampfire]

it's how it's laid out. just a trick if you squarely do that you'll see it's not a triangle but a triangle with a 90 degree line then a triangle again.

[Reerox68]

@namtag24 OMG! That soooo reminds me of math class. Our teacher had Chuck Norris facts on the back wall!

[Telamon8]

indiana jones took it

[mudgeonline]

Egon and Otto thought it was a pineaple they ate it

[smittyzx]

theyre not exactly congruent i guess

[plusleandminus]

easy! your giant garage spiders stoled it =3

[GiaIsTheBest]

The formula for measuring the surface of a triangle is height times length divided by 2.

so.... 5*13:2= 32.5??

But if you measure each peace one by one than you'll get... 7+8+3*8:2+2*5:2= 32..

I don't know how to go on but I know I'm on the right way to discover the MYSTERY....

[mikstr22]

up your ass

[fouzy98]

@mikstr22 hahahahahaha nice one very gunny

[SGsareawesomeJPH]

he flipped green one over

[DavisSharpe]

the red and blue triangles are not similar, (5,2) and (8,3), the original shape is not a triangle but a quadrilateral.

then its rearranged to make a different quadrilateral with a different size

[DavisSharpe]

the red and blue triangles are not similar, (5,2) and (8,3), the original shape is not a triangle but a quadrilateral.

then its rearranged to make a different quadrilateral with a different size

[iMrVermeercrisostomo]

I hate math

[TheMeatloaflover]

you always come up with the most original content zack scot...sigh

[zae2615]

I Kno It

[Kasachurro]

In the top triangle the green is on top of the yellow but on the bottom he connects them by there long sides the missing space is made because the red triangle is bigger than the blue so when they are switched the blue isn't tall enough to fill the same space which results in the left open square

[gingeyboy10]

@Kasachurro duh

[hidemysocks]

psh there was no square piece to begin with thats why its not there..

[pengy626]

Because the second model thing is taller than the top one

[217why]

The "handle" of the green Block is 2 SQUARES. Yet, The YELLOW "handle is three squares so when they are switched The green square takes on the yellow blocks previous place, But if they are not a EQUAL amount of squares it "Shuffles" Or somthing. And thats the riddle Raw And Solved

[MrMasterLobster]

If you are interested in this one, note that 5, 8, 13 are consecutive terms in the Fibonacci sequence, and 5x13 = 65, 8x8 = 64, which is a difference of 1. I think this trick works with any three consecutive Fibonacci terms, eg 21, 34, 55: 21x55 = 1155, 34x34 = 1156. The puzzle can be presented by rearranging the parts of a rectangle (eg 5x13) into a square (eg 8x8) except that there is one square missing.

[wakerofwind88]

@MrMasterLobster

i think you didn't quite get the point of this one

[xXxja196xXx]

this guy tard after transformation look at the red triangle its not exactly on the edge of the blue one and the blue one is out the line on the litttle but like on the left at the edge looka at the one on the top and comapre the edges to thone on the bottom

[littlenipper650]

i ate the square.....thats where it went...

[souljaboi15801]

ha kinda cool

[beerbongin420]

it has to do with the bottom red piece changing.. look at the yellow and green ones they stay the same just depends on how you have them arranged. and the blue one stays the same also.

[ipodlord1]

the missing square was like fuck this im goone

[blackabyys]

lol

[mook2u]

lol haha that is so true... i would do the exact same about any math problem

[Gothkid1995]

the shapes are quadrilaterals. not triangles

[cih2007]

red triangle = 3 x 8

blue triangle = 2x 5

they dont even have the same slope so obviously the hypotenuse isn't exactly straight even though it appears to be that way

[kent1234567891011121]

I know this, you are 100 procent right

[TheCarrShow]

@cih2007 thats what i thought of

[QuickMatchFilms]

@cih2007 you're really smart

[xlayer1]

@cih2007 *brain sizzles then explodes*

[your620univircityvid]

@cih2007 no idea what u said but thumbs up

[234blogger]

@cih2007

nice

[kurby345]

@cih2007 Nerd

[heidmand]

@kurby345 And whats wrong with knowing math?

[kurby345]

@heidmand Nothing, Sorry. I was just trying to be funny.

[cih2007]

@kurby345 lol

[brian25199425]

@cih2007 Good job. For it to be accurate the one triangle would have to be 3x7.5, not 3x8.

[SuperDracolover]

@cih2007 math geek

[blackeyedpeas55]

@cih2007 that is not what he is asking and it doesnt matter, the reason is that there is an extra block on the yellow piece, the green block is 1 to long on the green thick end

[FunnystudioZ]

@cih2007 ya but how in the top triangle are the slopes even

[TheSieblercousins]

ya. its funny because if you measure the angles the entire triangle should be congruent to the little ones but it isn't because a 5x 13 triangle does not pass through points (8, 3) or (5, 2) making it not be a triangle. it goes through (8, 40/13) and (5, 25/13) which are very close to 3 & 2 which makes the illusion

[angel96886]

dafuck

[c2gyob]

the solution !

it's not a triangles

just look well at it !!!

[oerg]

As others have pointed out, the slope of the triangles are different, the ratio of the gradient of blue to red is 16:15 units/

The area of the rectangle needed to complete the "triangle" is then different and as expected, the ratio of the area of rectangles needed is directly proportionate to the ratio of the gradients of the triangles.

xb=length of base of blue triangle

hb=height of blue triangle

same for xr and hr.

Ratio of areas

xb*hr:xr*hb

->xb/hb:xr/hr

which is the ratio of gradients.

[TheSieblercousins]

i love math :D ... wow... this one is really facinating though. why you ask? well you can switch the blue and red triangles because either way, the hypotenuse will line up with the other hypotenuse. the area left for the green and yellow on the first is 3 x 5 BUT the area on the other is 2 x 8 making it one more square of space. no matter the pattern of the green and yellow if it fits the 15 sq box then it will be one short of the 16 sq box. btw...i'm gonna be a math teacher when i graduate :)

[guifercon]

You taught me!

All the other replies were too formula-kind, you show me the visual (area) one.

Thanks!

:-)

[plutiotboy]

yea that trick i really creepy

[lazzyTunes]

omg its like math at home

[TheSieblercousins]

@lazzyTunes which is awesome!!! ... wait... maybe I'm alone in that opinion... eh.. I did just take a Calculus 2 final..

[Shadowmn214]

angles

[stickpage1234567890]

lol figured it out by looking at it -.-

[PianoMaster098]

no where if u put it in and put it back to its original form it wont be a triangle no more:P

[chipman5678]

it exploted

[rsboy360]

you spilled white out on one of the yellow squares. soooo easy

[marquizzo]

Good find, kgre90r. Another interesting fact:

Area of triangle = (base*height) / 2

Using this formula, the area of the big triangle is 32.5.

If you add up all the individual areas, you get (Green=8 + Yellow=7 + Blue=5 + Red=12) = 32.0.

[chipmunk669]

it ran away

[kgre90r]

angles of red and blue triangle are not equal; (blue) ctg@=2/5=0.4 but (red) ctg@=3/8=0.375. that means the hypotenuse of "BIG" triangle is not a straight line

[pwnageperson32]

Its because in the the first triangle the top edge is all a 'smooth' edge and no blocks are touching it but in the second on of the blocks messes it up. idk

[nrmmoreno]

im sitting on it so no one will take it(not true)

[ubernubpros3]

it went up your butt... it told me before it went up.