Yes, use the Law of Cosines: a2=b2+c2-2bc*cosA where a, b, c are the lengths of the sides and A is the angle opposite to a. Just plug in the three values and solve for cosA. The answer is 0.805555556 (if you make a=6) which is in the interval [-1,1] so it is in the range of cosA. Since there exists an angle A using those 3 inputs, they can form a triangle.
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If the length of only one side is known, it is not possible to determine whether or not the triangle is right angled.
Perimeter: 5+10+length of its 3rd side