Question

The lengths of the diagonals of a rhombus are $24$cm and $32$ cm. Find the length of the side of the rhombus.

• A. $20$
• B. $10$
• C. $30$
• D. $25$

Answer 1

Answer: (A)

$20$

Considering,

side $=a$

diagonal $1=p$

diagonal $2=q$

$a=\frac{\sqrt{p^2+q^2}}{2}$

$p=24$ and $q=32$

$a=\frac{\sqrt{{24}^2+{32}^2}}{2}$

$a=\frac{40}{2}$

$a=20$