# What is the distance between #(-7,6,10)# and #(7,-4,9)#?

##### 1 Answer

Mar 29, 2018

distance

#### Explanation:

We seek the distance

Applying Pythagoras theorem in

# d^2 = (-7-7)^2 + (6-(-4))^2 + (10-9)^2 #

# \ \ \ \ = (-14)^2 + (10)^2 + (1)^2 #

# \ \ \ \ = 196 + 100 + 1 #

# \ \ \ \ = 297 #

Thus:

# d = sqrt(297) \ \ \ # (NB - we seek the positive solution)

# \ \ = sqrt(9*33) #

# \ \ = 3sqrt(33) #

# \ \ ~~ 17.2 #