Question

Consider the diagram below. Which of the following is the distance of the Line segment?

Answer 1

Answer: 11.66190379 11.7 rounded

Explanation:

use the distance formula

Answer 2

`d=2√(34)` units.

Explanation:

Distance formula:

If the end points of a line segments are
`(x_1,y_1)` and
`(x_2,y_2)`, then length of the line segment is

`d=\sqrt{x_2-x_1)^2+(y_2-y_1)^2`

From the given graph it is clear that the end points of the given line segments are (-1,8) and (5,-2). So, the distance of the line segment is

`d=√((5-(-1))^2+(-2-8)^2)`

`d=√((5+1)^2+(-10)^2)`

On further simplification we get

`d=√(36+100)`

`d=√(136)`

`d=2√(34)`

Therefore, the distance of the Line segment is
`2√(34)` units.