Final answer:
To find the length of the square's diagonal, we can use the Pythagorean theorem. In this case, the length of the diagonal is approximately 14.1 inches.
Step-by-step explanation:
To find the length of the square's diagonal, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the sides of the square are equal in length, so both sides are 10 inches. Let's call the length of the diagonal d. We can use the Pythagorean theorem to find d:
d^2 = 10^2 + 10^2
d^2 = 100 + 100
d^2 = 200
d = sqrt(200)
d ≈ 14.1 inches