Question

The area of rhombus is $120sqcm$. If one diagonal is $20cm$, find the other diagonal?

Answer 1

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

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

$\Rightarrow 120=\frac{1}{2}\times 20\times d_2$

$\Rightarrow d_2=\frac{120\times 2}{20}=12$cm

$\therefore$ the other diagonal is $12$cm