# The length of the diagonal of a square is 8 cm. How long are the sides of the square?

Oct 26, 2016

$5.66$

#### Explanation:

The sides of a square are equal. Let's call the length $x$

Use Pythagoras' Theorem.

Square the sides and add them together....

${x}^{2} + {x}^{2} = {8}^{2}$

$2 {x}^{2} = 64$

${x}^{2} = \frac{64}{2} = 32$

$x = \sqrt{32}$

$x = 4 \sqrt{2}$

$x = 5.66$