How do you find the distance between the points (4/5, -1), (2,-1/2)?

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Answer 1 · 2017-02-18T09:52:29

Distance = #1.3#

The distance between two points is found by finding the length of the line that would join them The formula is based on the Theorem of Pythagoras.

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

Using the given points: #(4/5,-1) and (2,-1/2)#

#= sqrt((-1/2-(-1))^2 +(2-4/5)^2#

#=sqrt((1/2)^2 +(6/5)^2)#

#= sqrt(1/4+36/25)#

#= sqrt((25+144)/100)#

#= sqrt(169/100)#

#=13/10#

#=1.3#