Let a = a then b = (a+c)/2 c = sqrt((a+c)*(a+30)/2) and d = 30
Take c = sqrt((a+c)*(a+30)/2). Make a quadratic equation and find its discriminant. Think of a such that D is perfect square. Only then we can get integral solution. From this approach I got a = 18 b = 27 c = 36 and d = 48 as the answer.
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