【Rpta.】La distancia entre los puntos es aproximadamente 4.47 unidades.
[tex]{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedimiento}}{\hspace{50pt}\above 1.2pt}[/tex]
Para resolver este problema recordemos que la distancia entre dos puntos A = (a,b) y B = (m,n), está dada por:
[tex]\boxed{\boldsymbol{\mathrm{d[A,B]=\sqrt{(a-m)^2+(b-n)^2}}}}[/tex]
Nuestros datos son:
[tex]\star \:\:\mathsf{P1=(\underbrace{3}_{\boldsymbol{\mathsf{a}}},\overbrace{-2}^{\boldsymbol{\mathsf{b}}})}[/tex] [tex]\star \:\: \mathsf{P2 =(\underbrace{1}_{\boldsymbol{\mathsf{m}}},\overbrace{2}^{\boldsymbol{\mathsf{n}}})}[/tex]
Entonces reemplazamos
[tex]\mathsf{d[P1,P2]=\sqrt{[(3)-(1)]^2+[(-2)-(2)]^2}}\\\\\mathsf{d[P1,P2]=\sqrt{(2)^2+(-4)^2}}\\\\\mathsf{d[P1,P2]=\sqrt{4+16}}\\\\\mathsf{d[P1,P2]=\sqrt{20}}\\\\{\boxed{\boldsymbol{\boxed{\mathsf{d[P1,P2]\approx4.47\:u}}}}}[/tex]
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[tex]\mathsf{\mathsf{\above 3pt \phantom{aa}\overset{\displaystyle \fbox{I\kern-3pt R}}{}\hspace{4 pt}\displaystyle \fbox{C\kern-6.5pt O}\hspace{4 pt}\overset{\displaystyle\fbox{C\kern-6.5pt G}}{} \hspace{4 pt} \displaystyle \fbox{I\kern-3pt H} \hspace{4pt}\overset{\displaystyle\fbox{I\kern-3pt E}}{} \hspace{4pt}\displaystyle \fbox{I\kern-3pt R} \phantom{aa}} \above 3pt}[/tex]
