Question

A square has diagonals 20 cm long. What is the length of the side?

Answer 1

The correct option is:

`10√(2)`

Step-by-step explanation:

A square has all of its sides of the same length. With two sides and a diagonal, we can create the right traingle:

Where L is the length of the side of the square.

By the pythagorean theorem:

`20^2=L^2+L^2`

And solve for L:

`\begin{gathered} 20^2=L^2+L^2 \\ 400=2L^2 \\ (400)/(2)=L^2 \\ √(200)=L \\ L=10√(2) \end{gathered}`