Answer:
The length of side is 42.4 inches.
Step-by-step explanation:
Given that:
Diagonal of square = 60 inches
As all sides of a square are equal, thus
Side of square = x
The diagonal will be the hypotenuse of a right angled triangle.
Using Pythagorean theorem;
[tex]x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800[/tex]
Taking square root on both sides
[tex]\sqrt{x^2}=\sqrt{1800}\\x=42.4[/tex]
Hence,
The length of side is 42.4 inches.