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Amars
10-28-2005, 06:58 PM
How does this work?

http://www.finheaven.com/clear.gif

Nappy Roots
10-28-2005, 07:04 PM
this isnt a trick. its easy. 3 squares - 2 squares = 1 space

Amars
10-28-2005, 07:08 PM
how so.

Dolfan984
10-28-2005, 07:23 PM
Im honestly stumped, I tried looking at every way I could think of counting squares and crap like that.

Nappy Roots
10-28-2005, 07:48 PM
maybe im not understanding the question.......

cnc66
10-28-2005, 08:00 PM
this is making my head hurt, Amars, do you know the answer? The finished shapes are not exactly alike but that may be a sloppy drawing.

byroan
10-28-2005, 08:02 PM
It's not the same shape. It's not even a triangle. The hypothenuse isn't straight.

Also, in the first picture. The red triangle is touching the tan shape with 3 right side blocks. The green shape is touching the tan shape with 5 bottom blocks. Reversing the shapes like in the second pic, it's 2 green blocks and 8 red blocks. 5x3 = 15, 8x2 = 16. One extra space.

Nappy Roots
10-28-2005, 08:10 PM
theres no mystery....its just he way the shapes are changed, it makes the space, i dont get why everyone is baffled.

King Nate
10-28-2005, 08:12 PM
theres no mystery....its just he way the shapes are changed, it makes the space, i dont get why everyone is baffled.

Haha, I have the same line of thinking you have for this one, Nappy.

painnotpleasure
10-28-2005, 08:14 PM
It's not the same shape. It's not even a triangle. The hypothenuse isn't straight.

Also, in the first picture. The red triangle is touching the tan shape with 3 right side blocks. The green shape is touching the tan shape with 5 bottom blocks. Reversing the shapes like in the second pic, it's 2 green blocks and 8 red blocks. 5x3 = 15, 8x2 = 16. One extra space. I read what you said and than looked and than read what you said again... I think you're right.

theres no mystery....its just he way the shapes are changed, it makes the space, i dont get why everyone is baffled. I read what you said and I didn't look again, but I think you're right too.


:hitself:

Amars
10-28-2005, 09:06 PM
Im looking at this in terms of area of a triangle.

area of a triangle is 1/2h x base. How can triange 1 and triangle 2 which are the same triangles have different area.

byroan
10-28-2005, 10:15 PM
Im looking at this in terms of area of a triangle.

area of a triangle is 1/2h x base. How can triange 1 and triangle 2 which are the same triangles have different area.

Simple. It's not a triangle.


It's not the same shape. It's not even a triangle. The hypothenuse isn't straight.

Dolfan984
10-28-2005, 10:17 PM
(as I am at school :tsk: )


I saw that some of the shapes were a little off, but I didn't know if that had to do with anything. Figures that it does though. It said that they were in the same place so I believed it. I did notice it was a little off when I tried figuring it out earlier. Good job Byroan.

Wildbill3
10-28-2005, 11:07 PM
no it is a triangle, but the space can only be filled with that first combo, I'll look up the final answer for you guys.

byroan
10-28-2005, 11:14 PM
no it is a triangle, but the space can only be filled with that first combo, I'll look up the final answer for you guys.

It isn't a triangle. It's a quadrilateral. The top image's "hypothenuse" is concave. The bottom image's "hypothenuse" is convex.

Wildbill3
10-29-2005, 12:14 AM
http://www.scientificpsychic.com/mind/triangle1.html


The area of a right triangle is computed by multiplying the base times the height and dividing by two. The pieces of the puzzle have an area of 32 square units. Although they can be assembled to form what appears to be a 13×5 right triangle, they actually form quadrilaterals that are slightly smaller or slightly bigger than a 13×5 right triangle. The long side of the these triangles, i.e, the hypotenuse, is not a straight line.

The top figure has an area of 32 square units. The bottom figure, including the empty square, has an area of 33 square units. A real 13×5 right triangle would have an area of 32.5 square units. The distortion is difficult to see because one square of the picture is approximately 3% of the area.

The distortion can be seen more clearly when the empty square constitutes a larger percentage of the area, as in the figure below where 1 square represents 13% of the area.

http://www.finheaven.com/images/imported/2005/10/triangle3-1.gif


good call byroan, you were right about the not being triangles.

byroan
10-29-2005, 12:42 AM
http://www.scientificpsychic.com/mind/triangle1.html
good call byroan, you were right about the not being triangles.

:1st: :bravo:

Amars
10-29-2005, 02:09 AM
good job. Byroan