A diagonal of a square mirror is 10 inches long. What is the length in inches of each side of the mirror

Answer:
Step-by-step explanation:
a square has sides that are all the same length. That means that if we have a diagonal of a square that measures 10, using Pythagorean's Theorem,
[tex]x^2+x^2=10^2[/tex] and
[tex]2x^2=100[/tex] and
[tex]x^2=50[/tex] so
[tex]x=\sqrt{50}=\sqrt{25*2}=5\sqrt{2}[/tex]