SOLUTION: find the midpoint and the distance between the two points E(5,6,-3) and F (-2,5,-7) in the three-dimensional coordinate system. graph points E and F along with the midpoint on the

Algebra ->  Points-lines-and-rays -> SOLUTION: find the midpoint and the distance between the two points E(5,6,-3) and F (-2,5,-7) in the three-dimensional coordinate system. graph points E and F along with the midpoint on the      Log On


   

Question 305803: find the midpoint and the distance between the two points E(5,6,-3) and F (-2,5,-7) in the three-dimensional coordinate system.
graph points E and F along with the midpoint on the 3-D coordinate system.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Just like in 2D,
xm=%281%2F2%29%28x1%2Bx2%29=%281%2F2%29%285-2%29=3%2F2
ym=%281%2F2%29%28y1%2By2%29=%281%2F2%29%286%2B5%29=11%2F2
zm=%281%2F2%29%28z1%2Bz2%29=%281%2F2%29%28-3-7%29=-5
Distance formula
D%5E2=%28x1-x2%29%5E2%2B%28y1-y2%29%5E2%2B%28z1-z2%29%5E2
D%5E2=%285-%28-2%29%29%5E2%2B%286-5%29%5E2%2B%28-3-%28-7%29%29%5E2
D%5E2=49%2B1%2B16
D%5E2=66
D=sqrt%2866%29