How do you find the distance between #(2,10) # and #(10,16)#?

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Answer 1 · 2017-06-21T14:19:00

10

Distance = #sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

Plug your points into the formula.

You can make either coordinate set #1. Let's use (2, 10) as our first.

#(2, 10) #
#x_1 = 2, y_1 = 10#

#(10, 16)#
#x_2 = 10, y_2 = 16#

Distance = #sqrt((10 - 2)^2 + (16 - 10)^2)#

#= sqrt(8^2 + 6^2)#
#= sqrt(64 + 36)#
# = sqrt(100)#
# = 10#

The distance between the two points is 10.