The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Let us assume a rhombus ABCD where,

AB = BC = CD = DA

Now, in triangle OBC by using Pythagoras theorem we get:

BC² = OB² + OC²

BC² = 6² + 8²

BC² = 36 + 64

BC² = 100

BC = √100

BC = 10 cm

∴ AB = BC = CD = DA = 10 cm

Hence, option (A) is correct