Question

Calcule a distancia entre os pontos A (0;3) e B (2;-1)?

Answer 1

$\boxed{d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}}}$

Substituindo:

$d = \sqrt{(X_{b}-X_{a})^{2}+(Y_{b}-Y_{a})^{2}} \\\\ d = \sqrt{(2-0)^{2}+(-1-3)^{2}} \\\\ d = \sqrt{(2)^{2}+(-4)^{2}} \\\\ d = \sqrt{4+16} \\\\ d = \sqrt{20} \\\\ \boxed{\boxed{d = 2\sqrt{5}}}$