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/sci/ - Science & Math

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File: 10 KB, 519x486, magictrangle.png [View same] [iqdb] [saucenao] [google]
1494884 No.1494884 [Reply] [Original]

Where did the extra square go?

>> No.1494911

OP is a fag. This has been solved thousands of times.

>> No.1494913

here is a video of it

http://www.metacafe.com/watch/284518/missing_square/

>> No.1494936

>>1494911

I know it's been solved.

But not by me.

I was hoping someone could explain how/why it works.

>> No.1494937

>>1494913
Doesn't do any explaining... Someone explain this?

>> No.1494940

Problem, /sci/?
I GOT GET

>> No.1494945

isn't there very very subtle differences i the shape/size of the latter triangle which add up to leave a missing square? Perhaps it is my mind playing tricks on me. That was my first thought when I was introduced to this problem.

>> No.1494947
File: 107 KB, 365x359, lozmmskeletonguy.png [View same] [iqdb] [saucenao] [google]
1494947

Fucking triangles, how do they work.

>> No.1494955

>>1494945

I thought that too, but when I copied th image into paint, and separated all of the pieces, I could confirm that they were in fact, identical.

>> No.1494981

>>1494955

Hmm. The whole graph has equally distributed size of squares and direction? (as in there's not a subtle slant or anything?)

>> No.1494988

The bottom traingles slanty bit (im a doctor not a mathemagician god dammit) isn't actually straight.

>> No.1494990

Angles are different, and OP is a faggot.

>> No.1494992
File: 21 KB, 519x486, WHATS DIS.png [View same] [iqdb] [saucenao] [google]
1494992

Here, let me highlight something for you guys.

>> No.1494995
File: 62 KB, 441x402, IMG_0037.jpg [View same] [iqdb] [saucenao] [google]
1494995

>>1494884

>> No.1494999

>>1494992

So i was right. The difference is quite subtle, but there.

>> No.1495001

The hypotenuse of the top triangle is curved inwards.
The hypotenuse of the bottom triangle is curved outwards.
The blue and red triangles don't have the same slopes.

>> No.1495006

check slopes of the red and blue triangles

blue - 2/5
red - 3/8

not a straight line.

>> No.1495009
File: 19 KB, 356x238, Ashinternet.jpg [View same] [iqdb] [saucenao] [google]
1495009

>>1494992

>different parts of the triangle being circled.

Just copy this into paint.

You can place them on top of each other, and see that they are in fact identical.

>> No.1495013
File: 26 KB, 487x236, slantybit.jpg [View same] [iqdb] [saucenao] [google]
1495013

>> No.1495030
File: 35 KB, 519x486, solution.jpg [View same] [iqdb] [saucenao] [google]
1495030

The area doesn't change, the missing square is located on the hypotenuse in a really thing strip that looks almost invisible to the viewer. Its because the two triangle pieces have different slopes.

>> No.1495038

>>1495009

look at the left point of the blue triangle and see where that specific point lands on the grid.

then go straight down and observe where the point lands on the second triangle.

>> No.1495039
File: 20 KB, 519x486, Untitled.png [View same] [iqdb] [saucenao] [google]
1495039

>> No.1495043
File: 472 KB, 508x270, 1280082625230.gif [View same] [iqdb] [saucenao] [google]
1495043

>>1494947
I DON'T KNOWWWW

>> No.1495051

clever troll, almost had me going there

>> No.1495095

>>1495030

So basically, the blue and red triangles have different slopes?

>> No.1495106

>>1495095

The fact that they have different slopes isn't what causes the difference in area. However, it does prove that the hypotenuse isn't completely straight and the triangles aren't identical.