Question

Square $ABCD$ has a side of length $1cm$ and the diagonal $BD$ of length $\sqrt{2}$ cm. What is the length of the diagonal $AC$?

• A. $1cm$
• B. $2cm$
• C. $\sqrt{2}$$cm$
• D. $2\sqrt{2}$ $cm$

Answer 1

The correct option is C $\sqrt{2}$$cm$

We know that, the diagonals of a square are congruent.
$\Rightarrow$ $BD$ = $AC$
$\therefore$ $AC$ = $\sqrt{2}$ $cm$