Question

Find the distance of the point (1,2)from the mid point of the line segment joining the points (6,8) and (2,4)

Answer 1

hello users ......

we have to find

 the distance of the point (1,2)from the mid point of the line segment joining the points (6,8), (2,4).

solution :-

at first

let the mid point of  (6,8), (2,4) is (x,y) 

here 

x =

=  

= 8/2 = 4 

and y=   

=  = 12 / 2= 6

the co-ordinates of mid point are (4,6) 

now,

 using distance formula 

distance between (4,6) and (1,2) is 

=   

= √(3² + 4²) = √(9 + 16) = √ 25 = 5

Answer 2

Answer:

5

Step-by-step explanation:

let point c(1,2) be  at a distance q from point p(x,y) which is the midpoint of a line segment s= joining a(6,8) and b(2,4)

using midpoint formula

x1+x2/2=x            |            y1+y2/2=y

2+4/2=4               |           4+8/2=6

hence x=4          |            y=6

now using distance formula for finding distance  q

D(CP)=root over <(x2-x1)^2+(y2-y1)^2>

        = root over <(4-1)^2+(6-2)^2>

        =root over (9+16)

        =root over (25)

        =5