Question

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

Answer 1

mid point of points(6,8) and (2,4) is (4,6)
and by using distance formula we can find the distance between (1,2) and (4,6)

Answer 2

Answer:

The distance is 5 units.

Step-by-step explanation:

Given two points (6,8) and (2,4). we have to find the distance of point (1,2) from mid point of the line segment joining the points (6,8) and (2,4).

$\text{The mid point of line-segment joining the points (a,b) and (c,d) is }$

$(\frac{a+c}{2},\frac{b+d}{2})$

Now,

$\text{The mid point of line-segment joining the points (6,8) and (2,4) is }$

$(\frac{6+2}{2},\frac{8+4}{2})=(4,6)$

By distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The distance of point (1,2) from mid point of the line segment joining the points (6,8) and (2,4) i.e (4,6) is

$Distance=\sqrt{(4-1)^2+(6-2)^2}$

              $=\sqrt{9+16}=\sqrt{25}=5units$