To find the length of the diagonal, we can use the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the two halves of the square lawn.
The length of each side of the square is 8 ft, so the length of the diagonal can be found using the equation:
diagonal^2 = side^2 + side^2
diagonal^2 = 8^2 + 8^2
diagonal^2 = 64 + 64
diagonal^2 = 128
Taking the square root of both sides gives us:
diagonal = sqrt(128)
Simplifying the square root:
diagonal = sqrt(64 * 2)
diagonal = sqrt(64) * sqrt(2)
diagonal = 8sqrt(2)
Therefore, the length of the diagonal is 8sqrt(2).
The correct answer is C. 8sqrt(2).
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)
A.16sqrt(8)
B.2sqrt(8)
C.8sqrt(2)
D.4
1 answer
1 answer