Question

Question 110

Solve the following question:

Find the length of the side of a square, if the length of its diagonal is 10 cm.

Answer 1

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 $5\sqrt{2}cm.$