# The diagonal of a square is 10in. How do you find the length of the sides?

Sides = 7.07 inches

#### Explanation:

According to Pythagorean Theorem,

${a}^{2} = {b}^{2} + {c}^{2}$

Once it is a square, b = c. So,

${10}^{2} = {b}^{2} + {b}^{2}$

$100 = 2 {b}^{2}$

${b}^{2} = \frac{100}{2} = 50$

$b = s q r \left(50\right) \cong 7.07 ' '$