The length of one side of the square can be found using the distance formula between points A and B:
AB = √[(3-1)^2 + (2-2)^2]
AB = √[(2)^2 + (0)^2]
AB = √[4 + 0]
AB = √4
AB = 2
Since it is a square, all sides are equal in length. Therefore, the length of the diagonal can be found by using the Pythagorean Theorem:
Diagonal^2 = (Side)^2 + (Side)^2
Diagonal^2 = 2^2 + 2^2
Diagonal^2 = 4 + 4
Diagonal^2 = 8
Diagonal = √8
Diagonal ≈ 2.83
Therefore, the length of the diagonal of the square is approximately 2.83.
D (1,4)
C (3,4)
A (1,2)
B (3,2)
Apply the Pythagorean Theorem to find the length of the diagonal of the square.
Round your answer to the nearest hundredth, if necessary
1 answer