The correct options are
B 10 cm
C 13 cm
In any triangle, the sum of the two sides is always greater than the third side.
5 + 5 < 12 - hence, the third side cannot be 5
4 + 5 < 12 - hence, the third side cannot be 4
10 + 5 > 12 - hence, the third side can be 10
12 + 5 > 13 - hence, the third side can be 13