Question

Find the length of a side of thesquare shown below.ХX5V2x = [?]

Answer 1

Answer:

x = 5

Step-by-step explanation:

All the sides of a square are equal

In the diagram shown, all the sides have a length x

The right-angled triangle formed form the square is drawn below

Using the Pythagoras theorem

`\begin{gathered} (5\sqrt[]{2})^2=x^2+x^2 \\ 25(2)=2x^2 \\ x^2\text{ = }(25(2))/(2) \\ x^2\text{ = 25} \\ x\text{ = }\sqrt[]{25} \\ x\text{ = 5} \end{gathered}`