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Answer :
Given, in \(\triangle\) ABC, AB = \(6 \sqrt {3}\) cm, AC = 12 cm and BC = 6 cm.
We can observe that,
\(AB^2 = 108\)
\(AC^2 = 144\)
And,\( BC^2 = 36\)
\(AB^2 + BC^2 = AC^2\)
The given triangle, \(\triangle\) ABC, is satisfying Pythagoras theorem.
Therefore, the triangle is a right triangle, right-angled at B.
\(\angle\) B = 90°
Hence, the correct answer is (C).