What is the distance between #(-2,117)# and #(-10,125)#?

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Answer 1 · 2015-11-17T23:26:55

#19.698 # to 3 decimal places

Tony B

Let distance be s

Let #(x_1,y_1) -> (-2,117)#
Let #x_2,y_2)-> (-10,125)#

Using Pythagoras

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

#s = sqrt( {125-117}^2 + {(-10) -(-2)}^2)#

#s= sqrt(18^2 + (-8)^2)#

#s= sqrt(388)#

#s =19.698 # to 3 decimal places