Question

Line segment TV has endpoints at (2,10) and (18,-18). What is the approximate length of the segment?

Answer 1

44 is the length of the line segment

Answer 2

Since, a line segment TV has endpoints at (2,10) and (18,-18).

We have to determine the length of this line segment.

We will use distance formula for finding this length, which states:

For given points
`(x_(1),y_(1))` and
`(x_(2),y_(2))`

Distance(Length) =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

So, length of line segment TV

= (2, 10) and (18,-18)

`x_(1)=2 , y_(1)=10 , x_(2)=18 ,y_(2)= -18`

Length of TV =
`\sqrt{(18-2)^(2)+(-18-10)^(2)}`

=
`\sqrt{(16)^(2)+(-28)^(2)}`

`=√((256+784))`

=
`√(1040)`

= 32.249 units

= 32.25 units

So, the length of the line segment TV is 32.25 units.