Answer: Option C
Side of a rhombus = 13 cm
Diagonal of rhombus = 10 cm
In ΔAOB
$$\eqalign{
& AO = \sqrt {{{13}^2} - {5^2}} \cr
& \,\,\,\,\,\,\,\,\,\, = \sqrt {169 - 25} \cr
& \,\,\,\,\,\,\,\,\,\, = \sqrt {144} \cr
& \,\,\,\,\,\,\,\,\,\, = 12\,cm \cr} $$
$$\eqalign{
& \Rightarrow AC = 24 \cr
& {\text{Area of rhombus :}} \cr
& = \frac{1}{2} \times {d_1} \times {d_2} \cr
& = \frac{1}{2} \times 24 \times 10 \cr
& = 120\,sq.cm \cr} $$