The Mystery of the Triangle

[NerdBryant64]

try looking at the triangls as if they were rectangls and take acout of the big rectangle that it fits in and the emty space tottle

[MeDappaDonn]

i like pizza

[FlamedoFF]

We need more dark videos!

[Superkid3612]

Cos it is

[JstaGoodoBoy01]

theyre not perfect triangles so of course there are going to be some dilenqwencies

[InsaneNutjob]

It doesn't really require all that much math to think about. Really, you could just say that it doesn't take up as much space in one position because of the shape of the other.

[gulcanaltiay1]

i know it tipe in youtube missing square salotion click HOW THE HOL F.L.V.

[MindfulFuture]

Curry's Paradox

[sargisius]

I have the answer...  in my videos very detail explained!! it's called "NEW Solution of Triangle Mystery "missing square"

user: sargisius

[wuzzap147]

you put the red triangle on top when it goes on the bottom

[guitardudeguy00]

The black lines create some discrepancy about the actual size of the triangle's building blocks. If you look carefully, the top triangle's hypotenuse is translated up compared to the hypotenuse of the bottom triangle.( look at end of video)

[GTAstuntman101]

loook in the related videos

[CUZIIN]

the line runing from red tip to the blue tip is not a straight line

slope ratio is diffrent

Red: 8/3 = 2.6 recuring

Blue: 5/2 = 2.5

this makes the forth point of the polygon the point of red organge and blue intersect.

first "triangle" is like a car spoiler

second is like a hill slope

[krazykerri789]

@CUZIIN Finally somone who understands what i am talking about.

[NerdBryant64]

@CUZIIN its NOT run over rise X / Y,l its rise over run Y / X

[CubaColombianito]

I'm posting this comment to clarify one definition. People have been commenting that a triangle is not a polygon, when in fact is is a TYPE of polygon.

Defenition of Triangle:

A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.

[hoggg11]

hello friend , after 3 months happen to read your comment... :D well when i am saying that the big triangle isnt in fact a triangle , its a polygon , this statement doesnt denies that a polygon can be a triangle , but denies that it can be a triangle the shape we see in the "paradox" ..... take care

[hoggg11]

i know the answer :P - the so called big one triangle with the missing part - well it isnt a triangle at all! its a poligon , when i saw it for first time i though omg this cant be real lol

[urbs2]

the hell?

[AndrusPr8]

The red traingle has 8 squares base, 3 squares high. It's hipotenuse would be described following f(x) = 3/8 x

The WHOLE "triangle" follow the same hipotenuse rule, but istead of having 8 squares long it has 13. But 13 x 3/8 = 4.875 and not 5, which means that's not a triangle but something that resembles to a triangle.

[scawa1952]

The thing you point out, but don't actually state is that the three triangles are not "similar" triangles (an elementary concept in geometry). If the three triangles are not similar, then you can't overlay angles like he does.

Oh btw, I did the whole area thing at my first look and knew SOMETHING had to be wrong, cause at the start the sum of the iindividual areas (using the A = 1/2(b*h) rule ) didn't match the are of the whole triangle. Blew my mind.

[AndiPitesti]

=)) omg so much explanations

the simplest way to bust this is the next solution:

the are of triangle is not equal with the sum of the areas of each piece => the figure is not a triangle

[Tinydevil12]

mindfuck

[licketysplit101]

you're modifying the red triangle. Look in the two pictures again, the red triangle is smaller in the second picture.

[Usernamedshah]

OMG IS DAT SOME X-FILEZ?

[PokoUndead]

look at the longest side the first time its cuving out and the second one cevs out makeing it biger

[Skilas]

Not as much a mystery as it is an illusion. If our eyes were more accurate, we'd be able to see right away that those two smaller triangles have different angles, and as "stacase" said the overall shape isn't even a triangle.

[stacase]

The two small triangles are not the same shape as the large "Triangle" or each other. In fact the large "Triangle" is not a triangle, it is a four sided polygon. It just looks at first glance like a triange but it's not.

Count out the sides of each of the triangles including the large "Triangle" and you will see that they are not the same shape.  That is to say, the angles are not the same.

[FeelOrange91]

haha thats true

[folkobg]

this is true there is no way to loose the surface of the triangle

the angles are not the same

[QuadmanSwe]

Knowing it wouldn't fail I made a quick sketch and ran the numbers on a calculator:

2(sqrt(2^2+5^2)*sqrt(3^2+8^2)*­sin(tan^-1(2/5) - tan^-1(3/8) )/2) = 1, big mystery :P

[2pponjin]

Very intresting! All against the physics