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Given that a, B and C are the lengths of the three sides of △ ABC and satisfy A2 + 2B2 + c2-2b (a + C) = 0, then the shape of the triangle is______ ．
From the known condition A2 + 2B2 + c2-2b (a + C) = 0, it is concluded that, (a-b) 2 + (B-C) 2 = 0 A-B = 0, B-C = 0, that is, a = B, B = C a = b = C, so the answer is equilateral triangle
RELATED INFORMATIONS
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