Question

The area of a rhombus is $150sq.cm.$. If one diagonal is $30cm$, find the other diagonal.

Answer 1

Area of a rhombus$=\frac{1}{2}\times$Product of its diagonals

Area of a rhombus$=\frac{1}{2}\times d_1\times d_2$ where $d_1=30$cm

$\Rightarrow 150=\frac{1}{2}\times 30\times d_2$

$\Rightarrow d_2=\frac{2\times 150}{30}=10$cm

$\therefore$ the other diagonal$=10$cm