Question

Area of a rhombus is 216 $c{m}^2$ and one of its diagonals is 24 cm . Find the side of the rhombus .

Answer 1

Area of rhombus = $216$ $c{m}^2$

$\frac{1}{2}\times D_1\times D_2=216$

$12\times D_2=216$

$D_2=18$ $cm$

Sice, diagonals bisect each other at right angles, therefore,

$Side=\sqrt{{12}^2+9^2}=15$ $cm$