Question

State the following statement is True or False

The length of the diagonal of a square is $\sqrt{2}a$, where a is the length of the side

• A. True
• B. False

Answer 1

The correct option is A True

Let ABCD be a square of side 'a'. Then AC is its diagonal. Now, in $\Delta ADC$ using Pythagoras theorem.

$\therefore$ $AC=\sqrt{a^2+a^2}=\sqrt{2}a$

Hence, given statement is true.