【Rpta.】La distancia entre los puntos es aproximadamente 1.414 unidades.
[tex]\green{{\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]\blue{\boxed{\boldsymbol{\mathsf{\vphantom{\Big|}\ d[A,B]=\sqrt{(a-m)^2+(b-n)^2}}}\ }}[/tex]
Nuestros datos son:
[tex]\begin{array}{ccccccccccc}\star \:\:\mathsf{A=(\underbrace{2}_{\boldsymbol{\mathsf{a}}},\overbrace{8}^{\boldsymbol{\mathsf{b}}})}&&&&&&&&&&\star \:\: \mathsf{B =(\underbrace{3}_{\boldsymbol{\mathsf{m}}},\overbrace{9}^{\boldsymbol{\mathsf{n}}})}\end{array}[/tex]
Entonces reemplazamos
[tex]\mathsf{d[A,B]=\sqrt{[(2)-(3)]^2+[(8)-(9)]^2}}\\\\\mathsf{d[A,B]=\sqrt{(-1)^2+(-1)^2}}\\\\\mathsf{d[A,B]=\sqrt{1+1}}\\\\\mathsf{d[A,B]=\sqrt{2}}\\\\\boxed{\boldsymbol{\boxed{\mathsf{d[A,B]\approx 1.414\:u}}}}[/tex]
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