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-   -   How can this be!?! (http://www.chiefdelphi.com/forums/showthread.php?t=31674)

Mike Rush 09-12-2004 02:14

How can this be!?!
 


What do you think???

Joe Ross 09-12-2004 02:21

Re: How can this be!?!
 
The partitions are the same, but the overall size of the triangles are not the same.

This should probably go in the math & science forum.

NoodleKnight 09-12-2004 02:22

Re: How can this be!?!
 
You know, I've seen this thing before, I don't see what exactaly is supposed to be intriguing/confusing/puzzling about it... I can see why the second triangle has a blank space....

ahecht 09-12-2004 03:52

Re: How can this be!?!
 
The slope of the red and green triangles are not the same (2/5 != 3/8). Therefore the top composite triangle's hypotenuse is actually slightly concave, while the bottom composite triangle's hypotenuse is slightly convex, which means that the bottom composite triangle has a larger area (hence the gap).

Mike Betts 09-12-2004 06:42

Re: How can this be!?!
 
Quote:

Originally Posted by ahecht
The slope of the red and green triangles are not the same (2/5 != 3/8). Therefore the top composite triangle's hypotenuse is actually slightly concave, while the bottom composite triangle's hypotenuse is slightly convex, which means that the bottom composite triangle has a larger area (hence the gap).

Excellent...

Al Skierkiewicz 09-12-2004 07:50

Re: How can this be!?!
 
Quote:

Originally Posted by ahecht
The slope of the red and green triangles are not the same (2/5 != 3/8). Therefore the top composite triangle's hypotenuse is actually slightly concave, while the bottom composite triangle's hypotenuse is slightly convex, which means that the bottom composite triangle has a larger area (hence the gap).

Very Cool Explanation!

663.keith 09-12-2004 13:51

Re: How can this be!?!
 
excellent explanation, I put one triangle over the other in this .gif, by changing the opacity, one can clearly see the difference in the slope of the triangles



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