Problem: Parallelogram with Integer Sides and Integer diagonals

Suppose you are given to line segments of lengths 13 and 6 respectively

 

Now construct a parllelogram

Of all such parallograms, find those with BOTH diagonals of integer length.



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Extension:

Find other parallelograms with integer sides and integer diagonals.

Can there be a general characterization of all such parallograms?

 



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