If a diagonal of a square is 5 inches, what are the side lengths of the square?
To find the side lengths of the square, we can use the Pythagorean theorem.
Let's denote the side length of the square as x. Since the diagonal of the square is also the hypotenuse of a right triangle formed by two sides of the square, we can set up the following equation:
x^2 + x^2 = 5^2
2x^2 = 25
x^2 = 12.5
x = √12.5
x ≈ 3.54 inches
Therefore, the side lengths of the square are approximately 3.54 inches.