A riddle, somewhat

[perfanoff]

Where did the empty square come from?
I had loads of fun solving this, hope some of you do too

 

[BrokenInside]

Trying The red and blue triangles occupy the same number of squares above and below then why?

 

[9006]

I can see from here it's an optical illusion, take a step back and look at the top one, if you follow the slope line, you can see the (extreme) angle difference when the blue joins the red; that's enough to free up another square. Compare that to the bottom one where both triangular angles are uniform.

Done

 

[mintymint]

It's misleading because visually it looks like the red and blue triangles are equal proportionally, but if you look at their dimensions the blue has a bottom to height ratio of 5:2 and the red of 8:3, so that difference accounts for the extra square when you rearrange them, I think. It looks like the top slant of the triangle stays the same in each picture, but actually it's not a straight line in either. The change in the shape of that top edge accounts for the "extra" square worth of space. Is my guess.

 

[9006]

P.s, if you look at the image on an angle to your monitor, this manipulation of angles can be seen easier, also it even looks like the bottom has been very slightly changed.

 

[BrokenInside]

I can see from here it's an optical illusion, take a step back and look at the top one, if you follow the slope line, you can see the (extreme) angle difference when the blue joins the red; that's enough to free up another square. Compare that to the bottom one where both triangular angles are uniform.

Done

Makes sense!

 

[Badjedidude]

I think the extra square came from the bermuda triangle.

 

[9006]

I think the extra square came from the bermuda triangle.

It came from the bottom of your sig! Oh no wait.. they're triangles, nevermind.

 

[Bob Arctor]

It came from Uranus .

 

[perfanoff]

It's misleading because visually it looks like the red and blue triangles are equal proportionally, but if you look at their dimensions the blue has a bottom to height ratio of 5:2 and the red of 8:3, so that difference accounts for the extra square when you rearrange them, I think. It looks like the top slant of the triangle stays the same in each picture, but actually it's not a straight line in either. The change in the shape of that top edge accounts for the "extra" square worth of space. Is my guess.

Bingo The key is that you get a nice rhomboid difference between the two configurations of triangles, and guess how much the area of that really thin romboid is

And the difference is kind of hard to see if you're not looking at it, the slope of one is 2.5, of the other 2.67. And the baseline is 13/5 = 2.6.