A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8 ft? Leave your answer in simplest radical form. (1 point) Responses 16 16 Image with alt text: Start Root 8 End Root 2 2 Image with alt text: Start Root 8 End Root 8 8 Image with alt text: Start Root 2 End Root 4
The length of the diagonal of the square can be found using the Pythagorean theorem.
Let the side of the square be 8 ft. Then, the diagonal (d) can be calculated as:
d^2 = 8^2 + 8^2
d^2 = 64 + 64
d^2 = 128
d = √128
d = √(64 * 2)
d = 8√2 ft
Therefore, the length of the diagonal is 8√2 ft.