Question

Find the length of a diagonal ofa square with sides of 10inches long.[?]V ] inches

Answer 1

the Given:

The side of the square is a = 10 inches.

Step-by-step explanation:

The length of the diagonal of the square is determined by Pythagoras theorem.

`\begin{gathered} d=\sqrt[]{a^2+a^2} \\ =\sqrt[]{2a^2} \\ =\sqrt[]{2}a \end{gathered}`

Substitute 10 for a in the equation to determine the length of the diagonal of the square.

`\begin{gathered} d=\sqrt[]{2}\cdot10 \\ =10\sqrt[]{2} \end{gathered}`

So the answer is,

`10\sqrt[]{2}`