Question

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

Answer 1

Answer:

RS = (7, 2)

Step-by-step 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$\sqrt{10}$.

Step-by-step 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 = $\sqrt{(10-4)^{2}+(3-1)^{2} }$ = $\sqrt{40}$ = 2$\sqrt{10}$