ANSWER:
7.07 centimeters
STEP-BY-STEP 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;
[tex]c^2=a^2+b^2[/tex]
Where a and b are the sides and c would be the distance between the corners, we replace and solve for c, like this:
[tex]\begin{gathered} c^2=5^2+5^2 \\ c^2=25+25 \\ c=\sqrt[]{50} \\ c\cong7.07\text{ cm} \end{gathered}[/tex]
The distance between both corners is 7.07 centimeters
