Question

$\square ABCD$ is a rhombus. If $ABCD=160$ and $AC=16$ then $BD=$ ________.

• A. $10$
• B. $20$
• C. $15$
• D. $25$

Answer 1

The correct option is B $20$

Area of rhombus $=\frac{1}{2}\times d_1\times d_2$, where $d_1$ and $d_2$ are diagonals of rhombus.
Here, $Area=160,AC=d_1=16$ and $BD=d_2$
$160=\frac{1}{2}\times 16\times d_2$
$\therefore d_2=\frac{160\times 2}{16}=20$.