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

2 Answers

6 votes
44 is the length of the line segment

User Piyush Mathur
by
8.0k points
2 votes

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.

User Daniel Camarda
by
8.3k points

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