(1,4) (3,4) (1,2) (3,2) find the diagonal of the square. Round the answer to nearest hundredth If necessarily

Answer 1

To find the diagonal of a square, we can use the distance formula between two points.

Let's label the given points as A(1,4), B(3,4), C(1,2), and D(3,2).

The diagonal of a square connects opposite vertices. In this case, it connects points A and C, or points B and D.

Using the distance formula, the distance between A(1,4) and C(1,2) is:

d = √[(x2 - x1)^2 + (y2 - y1)^2]
d = √[(1 - 1)^2 + (2 - 4)^2]
d = √[0^2 + (-2)^2]
d = √[0 + 4]
d = √4
d = 2

Therefore, the length of the diagonal of the square is 2.