It is not possible to construct a triangle with side lengths 2mm, 6mm, and 10mm. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side. However, in this case, 2mm + 6mm = 8mm, which is less than the length of the remaining side (10mm). Thus, it is impossible to form a triangle with these side lengths.
