There seems to be only one solution, which in fact, did have 2 of the lengths equal.
side 1 side 2 side 3 diagonal
45624 91248 91248 136872.0
The squares of each side is indeed a 10-digit pandigital:
2081549376 8326197504 8326197504
Check :
45624^2 + 91248^2 + 91248^2 = 18733944384
136872^2 = 18733944384
For an explanation, refer to the solution submitted by Larry in this location.
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