Correct Answer: (c) 16 cm

Explanation:

Let ABCD be the rhombus with diagonals AC and BD intersecting each other at O.

Also, diagonals of a rhombus bisect each other at right angles.

AC = 12 cm, AO = 6 cm

Applying Pythagoras theorem in right-angled triangle AOB.

????????² = ????????² + ????????²

????????² = ????????² − ????????²

????????² = 10² − 6² => 100 − 36 => 64

???????? = √64 => 8

???????? = 2 × ???????? => 2 × 8 => 16 ????????

Hence, the length of the second diagonal BD is 16 cm.