SOLUTION: what is length of a segment with an endpoint of (-3,1) and a midpoint of (8,2)

Algebra ->  Length-and-distance -> SOLUTION: what is length of a segment with an endpoint of (-3,1) and a midpoint of (8,2)      Log On


   

Question 742866: what is length of a segment with an endpoint of (-3,1) and a midpoint of (8,2)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Since the point (8,2) is the midpoint, we know that it is half way between endpoints. If we find the distance between (-3,1) and (8,2), and double it we will know the length of the segment:
l=2d
d=sqrt%28%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%29
x2=8
x1=-3
y2=2
y1=1
d=sqrt%28%288-%28-3%29%29%5E2%2B%282-1%29%5E2%29
d=sqrt%28%2811%29%29%5E2%2B%281%29%5E2%29
d=sqrt%28121%2B1%29
d=sqrt%28122%29
So the segment length is
l=2sqrt%28122%29