Given:
Area of rhombus = 96 cm
One diagonal = 12 cm
To find:
The other diagonal.
Solution:
We know that,
[tex]\text{Area of a rhombus}=\dfrac{1}{2}\times d_1\times d_2[/tex]
where, [tex]d_1\text{ and }d_2[/tex] are two diagonals of the rhombus.
Putting the given values, we get
[tex]96=\dfrac{1}{2}\times 12\times d_2[/tex]
[tex]96=6\times d_2[/tex]
Divide both sides by 6.
[tex]\dfrac{96}{6}=d_2[/tex]
[tex]16=d_2[/tex]
Therefore, the length of the other diagonal is 16 cm.
