When you put the pieces that form the hypothenuse, you do not get the real value what it's supposed to be (square root of 13^2 plus 5^2). This is because the angle of the blue piece is smaller than the angle of the red piece (with angle i mean the left lower corner of each piece). When we rearrange them, the red and blue switch places and now the angle of the red is bigger than the angle of the blue. The first time the triangle bent in a bit if you would zoom in. Now the triangle bends out. You cannot see this because the line is thick. The area added when the triangle changed from bent in to bent out (really thin parallelogram) is now subtracted by the empty square. That way matter is conserved. Otherwise (it may seem weird) matter would be lost!!!
P.S. Anyone who still doesn't get it e-mail me at a_red_sani@yahoo.co.in
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