Find the distance from C to the midpoint of AB. ​A(3​,3​,2​) ​B(9​,7​,−8​) ​C(−5​,8​,−4​)

Question

The answer should be exact. Radicals can be used if needed.

Answer 1

The first step would be to find the midpoint (basically, take the average of all of the x,y,z coordinates):

 

midpoint of AB = (6,5,-3)

 

Then we would calculate the distance using sqrt(Δx^2 + Δy^2 + Δz^2) = sqrt(11^2 + 3^2 + 1^2) = sqrt(131)