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)Responses442.832.83884.24

Question

the four points are
A 1,2
B 3,2
C 3,4
D 1,4

Answer 1

To find the length of the diagonal of the square, we can find the distance between points A and C (which would be the diagonal).

Using the Pythagorean Theorem:
d^2 = (3-1)^2 + (4-2)^2
d^2 = 2^2 + 2^2
d^2 = 4 + 4
d^2 = 8

Taking the square root of both sides:
d = √8
d ≈ 2.83

Rounded to the nearest hundredth:
The length of the diagonal of the square is approximately 2.83 units.

Therefore, the answer is 2.83.