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 (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In a square, the diagonals form right triangles with the sides of the square. Let's call the length of one side of the square "s".
Applying the Pythagorean theorem, we have:
diagonal^2 = s^2 + s^2
diagonal^2 = 2s^2
Taking the square root of both sides to solve for the diagonal, we have:
diagonal = sqrt(2s^2)
Since we don't know the length of one side of the square, we cannot determine the exact length of the diagonal. Therefore, none of the given responses can be selected as the correct answer without knowing the length of one side of the square.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
4
4
4.24
4.24
2.83
2.83
8
8
1 answer