Question

How far is the distance between the corners of the square?

Answer 1

7.07 centimeters

Explanation:

We can calculate the distance between the corners by means of the Pythagorean theorem, since if we cross the line, we have a right triangle as a result.

The Pythagorean theorem states the following;

`c^2=a^2+b^2`

Where a and b are the sides and c would be the distance between the corners, we replace and solve for c, like this:

`\begin{gathered} c^2=5^2+5^2 \\ c^2=25+25 \\ c=\sqrt[]{50} \\ c\cong7.07\text{ cm} \end{gathered}`

The distance between both corners is 7.07 centimeters