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On the long side of the triangle, the angle is a little different. The difference is very small, but enough that when you rearrange the pieces, there's a little more space in the second triangle.If you look closely at the squares on the long side, you can see the difference in the sizes of the two triangles.
Carolyn is right. This is an optical illusion and the red and green triangles have a very slightly different angle to them. Here's a link to an animation where they tell you the answer at the bottom: http://www.michaelbach.de/ot/ang_trianglePuzzle/index.html/ [Links inactive - To make links active and clickable, login or click here to register]