Question

If the length of diagonal of a square is 10 cm, then the length of the side of the square is $\sqrt{50}$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, length of diagonal = 10 cm
Suppose, the length of side of a square is x cm.
By using Pythagoras theorem,
$(10{)}^2=x^2+x^2\Rightarrow 100=2x^2\Rightarrow x^2=50$
$\Rightarrow x=\sqrt{50}$ [taking square root on both sides]
$\therefore x=5\sqrt{2}cm$
Hence, the length of the side of square is $\sqrt{50}$ or $5\sqrt{2}cm$