Question

The diagonals of a rhombus are $12cm$ and $16cm$. Find the length of its one side in cm.

• A. $8$
• B. $10$
• C. $9$
• D. $12$

Answer 1

The correct option is B $10$

If the length of the diagonals of a rhombus is $a$ and $b$.

Then, length of side is:
$l^2=\frac{1}{4}(a^2+b^2)$
$l^2=\frac{1}{4}({12}^2+{16}^2)$
$l^2=\frac{1}{4}\left(400\right)$
$l=10cm$