SOLUTION: Find the distance to two decimal places from the point (10,10)to the midpoint of the line segment from A(-3,7) to B(-4,-5).

Algebra ->  Angles -> SOLUTION: Find the distance to two decimal places from the point (10,10)to the midpoint of the line segment from A(-3,7) to B(-4,-5).      Log On


   



Question 179851: Find the distance to two decimal places from the point (10,10)to the midpoint of the line segment from A(-3,7) to B(-4,-5).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the midpoint of AB using the midpoint formula,
x%5Bm%5D=%28x%5B1%5D%2Bx%5B2%5D%29%2F2
y%5Bm%5D=%28y%5B1%5D%2By%5B2%5D%29%2F2
.
.
x%5Bm%5D=%28-3-4%29%2F2=-3.5
y%5Bm%5D=%287-5%29%2F2=1
Now use the distance formula between this (x%5Bm%5D,y%5Bm%5D) and (10,10),
D=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
D=sqrt%28%28-3.5-10%29%5E2%2B%281-10%29%5E2%29
D=sqrt%28%28-13.5%29%5E2%2B%28-9%29%5E2%29
D=sqrt%28%28182.25%29%2B%2881%29%29
D=sqrt%28263.25%29
D=16.22