Question

The area of a rhombus is $84$ ${\text{m}}^2$ and its length of one diagonal is $24$ m. Find the side of the rhombus.

Answer 1

$\frac{1}{2}\times 24\times d=84$
$\therefore d=m$
Diagonal of the rhombus are 24 m and 7 m respectively
Now $A{B}^2=O{A}^2+O{B}^2$
$={\left(12\right)}^2+{\left(3.5\right)}^2$
$=(144+12.25)m^2$
$=156.25m^2={\left(12.5\right)}^2{m}^2$
$\therefore$AB=12.5m