An isosceles triangle has two sides, 3cm and 7cm respectively. The circumference of this triangle is______ ．

(1) If 3cm is the waist length and 7cm is the bottom length, the triangle does not exist because 3 + 3 < 7; (2) if 7cm is the waist length, the sum of the two sides of the triangle is greater than the third side. Therefore, the perimeter of the triangle is 7 + 7 + 3 = 17 (CM). Answer: the perimeter of the triangle is 17cm. So the answer is: 17cm

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