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'Tilted Squares' printed from http://nrich.maths.org/
We received three excellent solutions from
Jonathan, Bryn and Marissa of Madras College. Marissa's solution
The results above suggested a relationship between the area of tilted squares
and the distance travelled along and up to get from one vertex to
an adjacent vertex.
Alex from Llandovery College was able to
prove the relationship and sent us this proof that the formula will always work.