If the three sides of a right triangle are A-B, a, a + B and both a and B are positive integers, the length of one side of the triangle may be () A. 61B. 71C. 81D. 91

It can be seen from the problem that: (a-b) 2 + A2 = (a + b) 2, the solution is: a = 4b, so the three sides of the right triangle are 3b, 4b and 5b respectively. When B = 27, 3b = 81. So choose C

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