Answer to Question #158218 in Geometry for Janine Leodones

Question

A diagonal of a square is 4 m. Find a side of the

square.

Answer 1

We have that a diagonal of a square is $d=4\ \text{m}$. Let $a$ be the side of this square.

Using Pythagorean Theorem:

$a^2+a^2=d^2$

$2a^2=16$

$a^2=8$

$a=2\sqrt{2}$

Answer: the side of the square is $2\sqrt {2}\ \text{m}$ .