Can you figure this out?

[biostud]

click

To lazy for repost checking, but it's old.

 

[Pex]

yes.

 

[MrDingleDangle]

yes

game over man...game over

 

[Papagayo]

I'm interested in this also..

I could never figure it out..

The area of the large triangle is 32.5 (assuming that each block is unit of 1)

but when I add the separate pieces, it comes out to 32.

What am I messing?

Could someone please explain?

 

[biostud]

because you've seen it before or because your smart?

 

[Amorphus]

I can't figure it out.

In fact, the instant I saw this title, I was like "Oh that reminds me, I should post the triangle puzzle again". Lo and behold...

 

[Nanotech]

Yes, and it didn't take long.

Answer: The base of the red triangle is longer (8) than that of the green (6). Thus, when you place the red triangle on top the middle must be longer so they adjust the inner two pieces to accomadate the length of 8 and tack the green triangle on the end leaving the one space which should be blank, blank.

 

[Papagayo]

Originally posted by: Amorphus
I can't figure it out.

In fact, the instant I saw this title, I was like "Oh that reminds me, I should post the triangle puzzle again". Lo and behold...

WOW, that's weird.. I thought of the same thing..

 

[Ogg]

Originally posted by: Nanotech
Yes, and it didn't take long.

 

[hjo3]

Look at the teal and red triangles. Their slopes are different. Thus, in the top figure the assembled triangle sags downard very slighty, while the lower assembled figure bulges upward (allowing the blank spot to exist). Whee, geometry.

 

[jkats]

Originally posted by: Papagayo
I'm interested in this also..

I could never figure it out..

The area of the large triangle is 32.5 (assuming that each block is unit of 1)

but when I add the separate pieces, it comes out to 32.

What am I messing?

Could someone please explain?

hint: the triangles are not the same - check out the angles of incline.

 

[upsciLLion]

Originally posted by: hjo3
Look at the teal and red triangles. Their slopes are different. Thus, in the top figure the assembled triangle sags downard very slighty, while the lower assembled figure bulges upward (allowing the blank spot to exist). Whee, geometry.

Exactly. The hypotenuse of the top triangle bows in. The hypotenuse of the second triangle bows out. The additional area is accounted for by omitting a square unit of area on the bottom.

 

[dullard]

Neither one are triangles. Simple problem once you realize that.

 

[maziwanka]

Originally posted by: jkats

Originally posted by: Papagayo
I'm interested in this also..

I could never figure it out..

The area of the large triangle is 32.5 (assuming that each block is unit of 1)

but when I add the separate pieces, it comes out to 32.

What am I messing?

Could someone please explain?

hint: the triangles are not the same - check out the angles of incline.

yep. after you figure out the triangles arent the same, this problem is just retarded

 

[polm]

I declare shennanigans.

I opened the image in paint, and I was able to move the objects around (cut + paste).

NO HOLE THERE !

 

[LordSnailz]

ugh - I must be slow, but why are they different triangles?

The length of the legs are the same for each triangle, and they both have a right angle, how can they be different triangles. Unless they're not straight lines?

 

[Beattie]

the top triangles are switched and the other blocks are 3x5 =15 one way and 2x8 = 16 the other. 16-15 = 1

 

[Nanotech]

Originally posted by: LordSnailz
ugh - I must be slow, but why are they different triangles?

The length of the legs are the same for each triangle, and they both have a right angle, how can they be different triangles. Unless they're not straight lines?

Your not serious are you? Actually, I looked at it again and understand what your saying but the answer is yes this can be true it is all how the objects are arranged within the triangle that allows for the extra space (ie. they are not different triangles as a whole only the parts are rearranged to make for an extra space in the bottom one).

Hope that helps!

 

[hevnsnt]

before I clicked on it, I thought "This better not be the triangle"

 

[Nanotech]

Originally posted by: Beattie
the top triangles are switched and the other blocks are 3x5 =15 one way and 2x8 = 16 the other. 16-15 = 1

And there is the math that no one else wanted to do.

Thanks, Beattie!

 

[Beattie]

Originally posted by: Nanotech

Originally posted by: Beattie
the top triangles are switched and the other blocks are 3x5 =15 one way and 2x8 = 16 the other. 16-15 = 1

And there is the math that no one else wanted to do.

Thanks, Beattie!

No problem!

 

[dullard]

Originally posted by: LordSnailz
Unless they're not straight lines?

Bingo. They are not all straight lines.

Look closely at the "hypotenuse" (spelling?). On the top figure, the red and dark green triangles clearly align directly on the grid lines (both horizontal and vertical). See how it is exactly 3 gridlines from its base? Follow that vertical gridline down to the bottom figure. The red triangle extends ABOVE the 3rd gridline from the base.

We can do the same thing by starting looking at the bottom figure. Look where the dark green and red triangles meet on the "hypotenuse". They clearly are two gridlines from the base. Now move up that vertical gridline to the top figure. It is clearly well BELOW the 2nd gridline.

The endpoints of the figures are the same, but the "hypotenuse" is not a straight line. In the bottom figure, it bends out (creating half a block of room). In the top figure it bends in (cutting out half a block of room). While the red and dark green shapes are triangles, the combinations of shapes are not triangles at all.

 

[farmercal]

What's hard about that puzzle? It wasn't even a challenge and I didn't do well in geometry.

 

[LordSnailz]

Originally posted by: Nanotech

Originally posted by: Beattie
the top triangles are switched and the other blocks are 3x5 =15 one way and 2x8 = 16 the other. 16-15 = 1

And there is the math that no one else wanted to do.

Thanks, Beattie!

you're going to hate me for this, but come again? Where are you getting the 3x5 and 2x8? Also, I did not understand your explanation.

I can understand the different areas if the hypothenuses(sp?) are differrent as dullard pointed about ...

 

[dullard]

Originally posted by: LordSnailz

Originally posted by: Nanotech

Originally posted by: Beattie
the top triangles are switched and the other blocks are 3x5 =15 one way and 2x8 = 16 the other. 16-15 = 1

And there is the math that no one else wanted to do.

Thanks, Beattie!

you're going to hate me for this, but come again? Where are you getting the 3x5 and 2x8? Also, I did not understand your explanation.

I can understand the different areas if the hypothenuses(sp?) are differrent as dullard pointed about ...

Doing what Beattie did doesn't really explain anythign related to the trick. Try it with a real triangle and Beattie's thought won't work anymore. He explains where the hole is at on the bottom figure (which anyone can see at a glance), but not where it came from (on the top figure) which is the real trick.

Beattie pictured the light green and gold shapes together in a rectangle. The smallest rectangle that can hold both the shapes is 3 blocks by 5 blocks in the top figure, and it is 2 blocks by 8 blocks in the bottom figure.