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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