Resposta :
Bom, podemos usar a seguinte fórmula para descobrir a distância entre dois pontos:
[tex]\boxed{d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}}}[/tex]
Substituindo:
[tex]d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}} \\\\ d = \sqrt{(1-3)^{2}+(4-7)^{2}} \\\\ d = \sqrt{(-2)^{2}+(-3)^{2}} \\\\ d = \sqrt{4+9} \\\\ \boxed{\boxed{d = \sqrt{13}}}[/tex]
[tex]\boxed{d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}}}[/tex]
Substituindo:
[tex]d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}} \\\\ d = \sqrt{(1-3)^{2}+(4-7)^{2}} \\\\ d = \sqrt{(-2)^{2}+(-3)^{2}} \\\\ d = \sqrt{4+9} \\\\ \boxed{\boxed{d = \sqrt{13}}}[/tex]