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A pupil from Lauriston School said:

The best way to do this is to do it physically, always look for the long side.

Louise suggests a different method:

Locate either the short side where the cut was made or three remaining right angles, then draw in the sides of the square, this will allow you to see where the triangle has been placed.

Sam from Godalming College submitted this solution which he says he did by sight:

Rearrange the square

Well done Sam and thank you everyone for writing in!