Question 840184
No, this triangle cannot have the given sides.  Let A, B, and C represent the lengths of the sides.  A valid triangle is one where A + B >= C, and A and B are the two shortest sides.  In the case of the triangle with the sides given in the problem, 3 and 5 are the two shortest sides, so they would be represented by A and B.  3 + 5 is NOT greater than or equal to 11, therefore this triangle with the given sides cannot exist.