Respuesta :

lavanyaande

The length of RS is 2[tex]\sqrt{10}[/tex].

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 ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Now,

Putting, [tex]x_{1} =4,x_{2}=10, y_{1}=1, y_{2}=3[/tex] we get,

RS = [tex]\sqrt{(10-4)^{2}+(3-1)^{2} }[/tex] = [tex]\sqrt{40}[/tex] = 2[tex]\sqrt{10}[/tex]

lordsonmyk

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

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