How can this be true?

[Nasadus]

How can this be?

 

[PublicSecrecy]

You spend too much time on eBaum's world dude.

 

[Ten]

Note that the red triangle is one block taller than the green. It will all come together once you do.

Oh yeah, and there is no spoon.

 

[skip0110]

The shape isn't a triangle. The red and the aqua triangles have hypotenuses of a different slope. You can find the angles I listed using inverse tangents, or just note the deviation of the (perfectly straight) green line and the black line.

 

[Ten]

Oh fine, get all sciencey on me. I was still right.

 

[skip0110]

Oh fine, get all sciencey on me. I was still right.

Wasn't contradicting you, just explaining it in a different way.

 

[Ten]

I know. Sorry if I sounded offended.

 

[PublicSecrecy]

Um...notice how you may not have actually drawn that green light parallell/constant to the black one it's supposed to be disproving.

 

[skip0110]

Um...notice how you may not have actually drawn that green light parallell/constant to the black one it's supposed to be disproving.

The line is perfectly straight--thats what computers are good at. Clearly the red and aqua triangles do not have the same slope, because a devaition is evident moreso on one triangle than on the other, even if the line is not perfectly parallel to either. Anyway, work out the angles yourself if you don't believe it.

 

[PublicSecrecy]

i never said it wasn't strait- i said it wasn't parallel. due to the thickness of the black line, you have a variance of +/- ~ 1-1.2 mm. That could easily equate to why the angles don't match.

 

[skip0110]

It doesn't need to be parallel, all it needs to be is straight. One line deviates more from it than the other. See the figure--the red is parallel to neither, but it is straight, and that's all it needs to be to show that the other line is not straight.

 

[Small_Fryz]

skip i totally agree with you there 👍

 

[VT]

If you look at the TEAL triangle, you will notice that it is 5 squares long and 2 squares high. Now look at the RED triangle and go to the 5th square from the far left of it and you will notice that it IS NOT 2 squares high, it is roughly 1.8 squares high. This shape is a Quadrilateral, not a Triangle ..

Basically that was just a simpler way of explaining exactly what skip said.

Just looking at it you would never notice it unless you put it under the microscope and really looked at it.

 

[Blake]

You can tell they're not straight by looking at the squares in the background, it's clear they have a slightly different gradient.

Blake

 

[PublicSecrecy]

To prove that such a small discrepancy does not actually affect how the triangles go together, i have superimposed one on top of the other and there is no size difference. due to lack of upload allowance (100kb) I could not post the other 3 examples i made.

[edit] aww crap wrong one [edit]

 

[ROAD_DOGG33J]

Basically, the red and dark green triangles have different slopes.
3/8=0.375 vs. 2/5=0.4

The red triangle kind of stretches that part to make room for the hole.

 

[PublicSecrecy]

Nothing is stretched. If you printed it off and cut out each piece and then reconstructed it, you would find that one triangle comprised of those peices can also form another incomplete one.

 

[Der Alta]

http://www.gummy-stuff.org/puzzle-soln.htm

The solution. Oddly enough, I searched GTP for "Hypotenuse" and of the 6 threads that popped up, this one was in it: https://www.gtplanet.net/forum/showthread.php?t=40505&highlight=hypotenuse

AO

 

[Nasadus]

Mistery solved. 👍

 

[ROAD_DOGG33J]

Nothing is stretched. If you printed it off and cut out each piece and then reconstructed it, you would find that one triangle comprised of those peices can also form another incomplete one.

In order for it to be a triangle, the slope would have to be constant.

 

[Sharky.]

The answer:

 

[PublicSecrecy]

In order for it to be a triangle, the slope would have to be constant.

You know what I mean.