What is the distance between #(3,5)# and #(0,6)#?

1 Answer
Nov 30, 2015

Answer:

distance = #sqrt(10)# or about #3.16227766017#

Explanation:

The distance between two points #(x_1, y_1)# and #(x_2, y_2)# is given by the distance formula :
#d = sqrt((x_2 - x_1)^2 +(y_2 - y_1)^2)#

In this case,
#(x_1, y_1) = (3,5)#
which means that #x_1 = 3# and #y_1 = 5#
and
#(x_2, y_2) = (0,6)#
which means that #x_2 = 0# and #y_2 = 6#

If we plug this into the equation, we would get:
#d = sqrt((0-3)^2 + (6-5)^2)#

we can simplify this into
#d= sqrt((-3)^2 + (1)^2)#
#d= sqrt(9 + 1)#
#d=sqrt(10)#

Therefore your distance (answer) would be #sqrt(10)# or about #3.16227766017#