Question

the diagonal of a square is 15m find the length of one side

Answer 1

let side of square be x

using Pythagoras theorem

x^2 + x^2 = 15^2

2x^2= 225

x^2=225/2
x=
$15 \div \sqrt{2}$
x=15√2/2
hence side of square is 15√2/2

Answer 2

Let the side of square be a

Using Pythagoras theoram

$diagonal = \sqrt{ {a}^{2} + {a}^{2} } \\ = \sqrt{2 {a}^{2} } \\ = a \sqrt{2}$
$diagonal = 15 \\ a \sqrt{2} = 15 \\ a = \frac{15}{ \sqrt{2} }$