Question

RS has endpoints R(4, 1) and S(10, 3). Find RS.

Answer 1

RS = (7, 2)

Explanation:

Let's label all the figures for ease of operations.

x1 = 4

x2 = 10

y1 = 1

y2 = 3

Since we are given two end points, we'll seek out for the midpoints.

Midpoint Formula is expressed as:

Midpoint = (x1 + x2) / 2, (y1 + y2) / 2

RS = (4 + 10) / 2, ( 1 + 3) / 2

RS = 14 / 2 , 4 / 2

RS = 7, 2

Answer 2

The length of RS is 2
`√(10)`.

Explanation:

Given,

Coordinates of R ans S are (4,1) and (10,3) respectively.

To find the length of RS.

Formula:

The length between two points (
`x_(1) ,y_(1)`) and (
`x_(2) ,y_(2)`) is
`\sqrt{(x_(2) -x_(1))^(2) +(y_(2)-y_(1))^(2) }`

Now,

Putting,
`x_(1) =4,x_(2)=10, y_(1)=1, y_(2)=3` we get,

RS =
`\sqrt{(10-4)^(2)+(3-1)^(2) }` =
`√(40)` = 2
`√(10)`