Question

Diagonal of a square is $5\sqrt{2}$. Length of the side of the square is________

• A. $10$
• B. $5$
• C. $3\sqrt{2}$
• D. $2\sqrt{2}$

Answer 1

Answer: (B)

$5$

Given, length of diagonal of square $=5\sqrt{2}$

Let the side of the square be $a$

By Pythagoras theorem,

$a^2+a^2=(5\sqrt{2}{)}^2$

$\Rightarrow 2a^2=25\times 2$
$\Rightarrow a=5$