# Triangle

Discussion in 'General Discussion' started by Skeeter, 20 Oct 2009.

1. Skeeter

# Location: Surrey

The below triangle is made up of some shapes.

But, if you move the shapes around to form the triangle below, then a square of space appears? Where does this square come from? Its the same shapes, and the same triangle is formed?

Again, dont post the answer straight away, let the 1 or 2 people who dont already know have a bash

2. EdGey

# Location: England

already been posted in another thread a while back, still pretty cool though.

3. apeZ

# Location: Kent, England

seen before, can't remember though :/

4. SlyReaper

# Location: Bristol, Old Blighty

They're not triangles.

5. Skeeter

6. D D Danneh

# Location: Sheffield

Yeah. Cool how it works. The triangles aren't the same gradient.

7. SlyReaper

# Location: Bristol, Old Blighty

A triangle has 3 sides. The top picture has 4.

8. Skeeter

# Location: Surrey

seen as both pictures are made of the same shapes, the bottom one must too.

9. D D Danneh

# Location: Sheffield

The entire triangle does, yes, but you said triangleS (plural) .

Edit: Nevermind, brain fart, I seem to have forgotten there's two "overall" triangles.

10. TheCenturion

# Posts: 12,752

Yeah, the same triangle hasn't been formed.

Trigonometry at its best

11. Skeeter

# Location: Surrey

Yeah, I figured this would keep those looking for geometric solutions to the earlier ones happy.

12. SlyReaper

# Location: Bristol, Old Blighty

No, the bottom shape has 8 sides because it has a 3 sided chunk bitten out of it. If that chunk were filled in, it would have 4 sides.

13. D D Danneh

# Location: Sheffield

8 sides if you want to get pedantic

14. TheCenturion

# Posts: 12,752

Clearly, the area of the bottom triangle is 1 unit squared bigger than the top. that's why the hole has appeared

15. SlyReaper

# Location: Bristol, Old Blighty

Bah you're right. Edited.

16. TheCenturion

# Posts: 12,752

it's seven sided?

17. SlyReaper

# Location: Bristol, Old Blighty

No, 8. Count them.

18. RastaManBob

# Posts: 2,254

Neither of the two (complete/large) triangles are actually triangles.

The top triangle hypotenuse bows in slightly, whilst the bottom triangle hypotenuse bows out slightly.

This is because the red and dark green smaller triangles that compose the hypotenuse are both of different gradients (The red is 0.375 and the green is 0.4).

19. TheCenturion

# Posts: 12,752

I'm confused, the four sides of the traingle, + 3 made by the cutout shape

20. uknowist

# Location: Pub

dunno if its answered, but isnt it sumin to do with the red triangle having different angles or something lol