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

Step-by-step explanation:

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

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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)...

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

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