# Euclidean distance

Calculate the Euclidean distance between shops A, B and C, where:
A 45 0.05
B 60 0.05
C 52 0.09

Wherein the first figure is the weight in grams of bread and second figure is price in USD.

Correct result:

|AB| =  15
|BC| =  8.0001
|AC| =  7.00011

#### Solution:

$\mathrm{\mid }AB\mathrm{\mid }=\sqrt{\left(45-60{\right)}^{2}+\left(0.05-0.05{\right)}^{2}}\doteq 15$
$\mathrm{\mid }BC\mathrm{\mid }=\sqrt{\left(60-52{\right)}^{2}+\left(0.05-0.09{\right)}^{2}}\doteq 8.0001$
$\mathrm{\mid }AC\mathrm{\mid }=\sqrt{\left(45-52{\right)}^{2}+\left(0.05-0.09{\right)}^{2}}\doteq 7.00011$

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