No, a triangle cannot be formed with side lengths of 8 cm, 4 cm, and 12 cm. This is because of the triangle inequality which states that the sum of any two of the side lengths of a triangle must be greater than the length of the third side.
This means that 8 + 4 must be greater than 12, however, it is not, it is equal to 12.
Therefore, no a triangle can NOT be formed with the side lengths of 8 cm, 4 cm, and 12 cm.