A positive integer n is said to be congruent if there is a right-angled triangle with rational sides and area n. This congruent is unrelated to the definition used in modular arithmetic.
i.e. a right-angled triangle with sides 5, 12 and 13 has an area of 30 so 30 is a congruent number
I do not completely see the solution here but I recognize that d^2 - c^2 equals the side squared of a right triangle. If you call the side of right triangle e then e^2 could equal a*b.
I think this would make it possible to be congruent; however, I am not sure.
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