Go to the following web address:
http://www.simeonmagic.com/triangle/triangle1.htm
Look at the two triangles in the chart. How can you use the same peices in both triangles and get different surface covering? I have even printed out the page, cut out the pieces, and rearranged them and it still does the same thing, so I know it isn't some optical illusion. WTF is going on???
2006-10-17 09:36:16 · 10 answers · asked by gangsters_life_4me 2 in Entertainment & Music ➔ Jokes & Riddles
The extra space is due to a slightly different angle, or position of the angle. Look at the bottom triangle where the green, orange, and red sections intersect. It is right on intersection of the gray gridlines. On the top triangle, at that same grid point, the line does not go through the point, but is below it. The negative area is the same, it is just placed along the top line, rather than confined to a box in the middle of the triangle.
2006-10-17 09:57:47 · answer #1 · answered by clone1973 5 · 1⤊ 0⤋
It's all about proportion. It has nothing to do with the dark green and red pieces, other than being switched around. If you look at the light green (lg) piece and the orange (o) piece, you'll see exactly how it works.
The o piece has 5 squares on the top and 3 on the bottom, while the lg piece has 5 squares on the top and 2 on the bottom. These two pieces fit perfectly together when the proportions are equal (each piece of each other color fitting with the same pieces). However, when you try to fit the o and lg pieces together by placing the long (5 square piece) part of o to the smaller part (2 square piece) of lg, they don't fit because 3 is one more than 2. Thus, you have the extra space.
2006-10-17 13:45:21 · answer #2 · answered by Miss P. Square Pinky Swear 3 · 0⤊ 0⤋
The interchanged Red and green triangles in the second picture occupy more space in the grid, [which can be noticed by careful comparisn of triangles in both the pictures] which is exactly equal to the one square, and area being constant in both the cases, the extra space occupied has to be excluded , and that has been shown as extra. Try it you will get it!
2006-10-17 12:46:14 · answer #3 · answered by Tickler 5 · 0⤊ 0⤋
it's complicated. the angle of the triangle changes very slightly when you rearrange the pieces. so little that it is hard to see. each piece on the angle gains a little area. add them all up and it equals one block
2006-10-17 13:13:26 · answer #4 · answered by gojets126 3 · 0⤊ 0⤋
because the orange piece in the 1st one is leaning up on the green one in the 2nd one its not thus creating a hole
2006-10-17 09:41:04 · answer #5 · answered by Anonymous · 2⤊ 0⤋
I understand how its done, but its difficult to explain. That is a neat trick, but yea, difficult to explain.
2006-10-17 09:42:44 · answer #6 · answered by Anonymous · 0⤊ 1⤋
Maybe
2006-10-17 10:11:17 · answer #7 · answered by Anonymous · 0⤊ 0⤋
i don't know, i saw that before and i've showed it to a lot of people but i still have no clue!!
2006-10-17 09:48:08 · answer #8 · answered by shiva1632 2 · 0⤊ 0⤋
Yea, that's tricky!
2006-10-17 09:39:45 · answer #9 · answered by Laura T 3 · 0⤊ 1⤋
tricky
2006-10-17 10:26:55 · answer #10 · answered by Sunseaandair 4 · 0⤊ 0⤋