I am confused

[Daedalus]

Where the heck did that hole come from?


http://31337.pl/photo/index.php?action=viewimage&image=Puzzle.jpg

[Navaron]

Umm they flipped the triangles, what's the big deal?

[Daedalus]

Umm,you don't understand

The first triangle is composed of partitions.The second is composed of the same partitions.That means that both triangles should have the same area.
But they don't because of that hole.

[Hellsfire123]

Wait....how...what? that cant...son of a....what the f.....



:confused:

[ReneG8]

Easy trick!

Just look at the point where the two upper triangles are connected.
Then follow the line up and down.
You should now reckon a difference between both versions. The first one seems to go down, whilst the second one seems to move up. This is a very tiny space but it makes the difference of that area missing.
Just compare the hypotenuses. You will see the difference!
Hopefully i made myself clear.

[Hellsfire123]

not really, but then its been awhile since geometry. Someone wanna post in idiot for me? or define hypotenus


Edit: Oh wait. The slopes are different. I get it.

[AztecWarrior]

This sounds like a job for...

TRIGONOMETRY!

I'll just get out my TI-83 and calculate the area...

[AztecWarrior]

TRI 1
13*.5*5=32.5 units squared

TRI 2
Congruent!

WTF!

HOWEVER!

The hypotenuse is angled differently. Not sure if that makes a difference.

[Squeeky]

:confused:

[Derfud]

I think what they are tring to say is that the bottom trianlge has a top line which is curved upwards very slightly, making just enough room for the little square missing, where as the top one is flat.

[ReneG8]

Originally posted by Derfud
I think what they are tring to say is that the bottom trianlge has a top line which is curved upwards very slightly, making just enough room for the little square missing, where as the top one is flat.

Kinda... the other line is curved downwards.... slightly.
A hypothenusis however is a line in a Triangle which lies opposite to the 90� angle. Ever heard of pythagoras?!?

Forgive me, as english is not my native language, and its very hard to make something mathematical clear, if you dont know the appropriate words.

[OmnipotentKiwi]

Your talking about the Pethagorian Theorum, which is A^2+B^2=C^2

[Unregistered]

Originally posted by Hellsfire123
.......or define hypotenus......

Wasn't Hypotenus the Greek God "OFN"

[Daedalus]

Originally posted by Derfud
I think what they are tring to say is that the bottom trianlge has a top line which is curved upwards very slightly, making just enough room for the little square missing, where as the top one is flat.

I don't think so...
If the hypotenuse of the bottom triangle would be curved to make space for the hole then it should be really visible...
This is weird.
I can't figure this one out either:
http://31337.pl/photo/index.php?action=viewimage&image=Gdzie%20w%20tym%20logika.jpg

[OmnipotentKiwi]

If a=b then a-b equals 0, which throws off the entire proof from that point on.

[Daedalus]

Hmm,it actually doesn't make sense...anyway back to the previous puzzle...

[Unregistered]

Originally posted by OmnipotentKiwi
If a=b then a-b equals 0, which throws off the entire proof from that point on.

That's what I came up with.

[�io]

http://bohica.planetside-universe.com/images/forumPics/indeed.gif

[Happy lil Elf]

It's an optical illusion. The long endge of the triangle is not straight. The top is bent slightly in, the bottom slightly out. Why? Look at the ratio of squares on the large and small triangles. One is 2x5, the other is 3x8. Because of this the difference in angle is very slight since the respective ratios are 2/5 and 3/8. This means that by swapping the triangles you can either bend the long edge ever so slightly in or out.

Bend it in the square is filled, bend it out the square is empty.

Stupid passing optical illusions off as math problems :p

[ReneG8]

Anyways, i�ve seen a mathematical proof for that! Must be somewhere on the internet... floating aroung :D .

[Unregistered]

I'm pretty sure there ia mathimatical explanation for the first one as well. I seem to remember seeing it somewhere too.

It equates to something like the area and mass are not calculated the same. So by rearaging the puzzle you change it's mass, but not it's area. Thus resulting in the hole.

[Happy lil Elf]

Think of it this way, neither of the large shapes is actually a triangle. I forget what the exact term for them would be, been a looong time since geometry.