Question

Find the distance between the points (5, 2) and (3, 8).

Answer 1

2√10

Explanation:

Let (5,2)be point A

and (3,8) be point B

Now,

Distance Between Point A and B =√(x2 - x1)² + (y2-y1)²

= √(3-5)² + (8-2)²

= √(-2)²+(6)²

= √4+36

= √40

= 2√10

Therefore,

The distance between point A and B is 2√10

Answer 2

To find the distance between two points in a two-dimensional plane, we use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given values, we have:

d = sqrt((3 - 5)^2 + (8 - 2)^2)

d = sqrt((-2)^2 + 6^2)

d = sqrt(4 + 36)

d = sqrt(40)

d = 2sqrt(10)

Therefore, the distance between the points (5, 2) and (3, 8) is 2sqrt(10) units.