# Find the 3

Find the distance and mid-point between A(1,2) and B(5,5).

Correct result:

d =  5
x =  3
y =  3.5

#### Solution:

$x_{0}=1 \ \\ y_{0}=2 \ \\ \ \\ x_{1}=5 \ \\ y_{1}=5 \ \\ \ \\ d=\sqrt{ (x_{1}-x_{0})^2+(y_{1}-y_{0})^2 }=\sqrt{ (5-1)^2+(5-2)^2 }=5$
$x=(x_{0}+x_{1})/2=(1+5)/2=3$
$y=(y_{0}+y_{1})/2=(2+5)/2=\dfrac{ 7 }{ 2 }=3.5$

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