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Triangles ( not at all poker ), chasepoker, 18. Jun 2003 13:51
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I know you guys love these, try doing it without looking at the answer.

http://www.ebaumsworld.com/trigrid.html
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Re: Triangles ( not at all poker ), MozMan, 18. Jun 2003 14:08
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I like it. It's really all about efficiency. It reminds me of my days on the ramp, loading airlplanes for a living with suitcases and cargo... a good ramper could get more in the bin by arranging things differently, and it was really like building a big puzzle.

The long as short of it is this: the bottom puzzle is a more efficient use of available space, as you still ahve space left over with the proper arrangement of the shapes.

-Moz

"Does Barry Manilow know you raided his wardrobe closet?"
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Re: Triangles ( not at all poker ), Andrew Wells, 18. Jun 2003 18:29
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I like this one, but have seen similar puzzles before. The upper "triangle" is concave along the hypotenuse, and the lower one is convex. This difference is equal to the area of the "missing" square.
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Re: Triangles ( not at all poker ), stdioh, 19. Jun 2003 12:15
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The two triangular pieces involved have different side ratios, one of them being 5:2 and the other being 8:3 ... as a result they have different hypotenuse slopes and the large figure made is not a true traingle. Thus the two large figures made are diffferent shapes and if you look closely, they have different volumes, which differ exactly by 1 unit square. The fact that at a glance they both make reasonable approximations of a triangle and that both "big triangles" have equal length arms, we assume that they are right proper "right triangles" and that they therefore must be homomorphic, due to the old "side-angle-side, angle-side-angle, or side-side-side" theory that we learned in elementary school geometry.
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