Q5. - Geometry

Question

If a side of a square has length $5cm$, then a diagonal of the square has length ____ cm.

Step-by-Step Solution

Answer

$5\sqrt{2}$

Step 1. Given information.

The given statement is “If a side of a square has length$5\text{ cm}$, then a diagonal of the

square has length $\underset{¯}{}$”.

Step 2. Formula used.

The length of diagonal of square is $d=\sqrt{2a}$.

Step 3. Soluton.

Find the length of diagonal of square 

$\begin{array}{l}d=\sqrt{2}a\\ =\sqrt{2}\left(5\right)\\ =5\sqrt{2}\end{array}$

Therefore, the blank is filled with term $5\sqrt{2}$.