# What is the distance between #(-1,15,3)# and #(3,14,5)#?

##### 1 Answer

Apr 22, 2018

#### Explanation:

#"using the 3-dimensional form of the "color(blue)"distance formula"#

#•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#

#"let "(x_1,y_1,z_1)=(-1,15,3),(x_2,y_2,z_2)=(3,14,5)#

#d=sqrt((3+1)^2+(14-15)^2+(5-3)^2)#

#color(white)(d)=sqrt(16+1+4)=sqrt21~~4.58#