Answer:
Therefore, the distance between E and F is sqrt(32), which can also be written as 4*sqrt(2) in simplified radical form.
Explanation:
In the given image, we can find the distance between E and F by using the Pythagorean theorem. Let's denote the coordinates of point E as (x1, y1) and the coordinates of point F as (x2, y2).Using the distance formula, we have:EF = sqrt((x2 - x1)^2 + (y2 - y1)^2)Substituting the coordinates of E and F, we get:EF = sqrt((1 - 5)^2 + (2 - 6)^2)Simplifying, we get:EF = sqrt((-4)^2 + (-4)^2)EF = sqrt(32)