Final answer:
To find the length of the diagonal of a square, use the Pythagorean theorem by squaring the lengths of the sides and taking the square root of their sum. In this case, the length of the diagonal is closest to 16 cm.
Step-by-step explanation:
To find the length of the diagonal of a square, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, let's assume that the length of one side of the square is x. Then, the diagonal (hypotenuse) can be represented as the square root of (x squared + x squared), which simplifies to the square root of 2x squared. We are given that x squared is equal to 260, so we can substitute that value into the equation to find the length of the diagonal.
Taking the square root of both sides, we get x = sqrt(260), which is approximately equal to 16.12. Therefore, the length of the diagonal of the square is closest to 16 cm, which corresponds to Option 2.
Learn more about Finding the length of the diagonal of a square