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Originally posted by ESC:
The two triangles have different slopes... 2:5 and 3:8, while in the first setup it appears to make one big triangle, it doesn't the "hypotenuse" isn't a straight line, so I guess you could call it an optical trick.
Add up the individual areas and they are the same, or as Todras said, just look at each piece they haven't changed, it's just a different arrangement.
Bingo - the slopes are different. So the overall triangles created ny grouping each layout creates a different overall surface area. The second layout shows the difference in this area, as one square.
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CEG\'er
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CEG\'er
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 ignore the colors inside, all you need to pay attention to is the outline. the 2:5 / 3:8 argument is correct. The triangles are not scaled equally. So the to whole shapes are not the same.
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Easiest way to see the difference would be to place one picture upon the other...(figure out the actual size of a square)...note the two separate lines of the angle & add up the area between the two lines...it would equal that one square
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I have no life
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I have no life
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Ah cool I figured it was a little more difficult than I was making it. I was never in the Olympics of the Mind as a kid. 
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You can take the squareroot of the squares of the two shorter sides of each triangle to get the hypotenuse of each. Then take the sin (or cosine) using those lengths and you get two different angles for the left angle of each triangle
The red one is 20.55 degrees, the green one is 21.80 degrees. Just enough to fool the eye, but open up the gap you see.
"Fear is the little death."
Muadib.
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OP
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Originally posted by todras:
Ah cool I figured it was a little more difficult than I was making it. I was never in the Olympics of the Mind as a kid.
same here. this would explain why i am not getting the hottest grades in math related subjects. Thank you all for your input, and sharing your great intellect with me... 
2000 Acura 3.2 TL
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Originally posted by Nate'sTour:
You can take the squareroot of the squares of the two shorter sides of each triangle to get the hypotenuse of each. Then take the sin (or cosine) using those lengths and you get two different angles for the left angle of each triangle
Actually that should be inverse cosine, or inverse sign ... You get the idea 
"Fear is the little death."
Muadib.
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I would have gotten there, once I figured out the "rounding error" was bogus, I was on the right track. What I wrote off to rounding error was just the bad assumption that the large figure was actually a triangle.
TB
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now officially a troll, i guess. used to have a black 96 SE, until it broke down one too many times.
now I'm hunting for a motorycle.
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