Find the length of the line segment joining the midpoints of the segments AB and CD, where A=(1,3),B=(2,6),C=(4,7) and D=(3,4).

Question

anonymous · Answer

First: find the coordinates of the midpoints of AB and CD
The midpoint of AB is (0.5,4.5)
The midpoint of CD is (3.5,6.5)
Second: use the distance formula to find the distance between the midpoints
The difference in X is 3
The difference in Y is 2
$$distance=\sqrt{3^2+2^2}=\sqrt{13}$$

anonymous · Answer

peter,The midpoint of AB is (0.5,4.5) how do u get that pls?

anonymous · Answer

midpoint is it not x1+x2/2which is 1.5

anonymous · Answer

and 4.5

campbell_st · Answer

and I think you'll find the midpoint of CD is incorrectly stated

I think it should be (3.5, 5.5)

directrix · Answer

So, now is the task to find the distance between the points with coordinates 
(3/2 , 9/2)  and (7/2 , 11/2) ?  @lissafi

anonymous · Answer

oh, sorry 0.5 and 6.5 were wrong. thank you for checking my math.

anonymous · Answer

oh, sorry 0.5 and 6.5 were wrong. thank you for checking my math.
The process itself is right though.