Question

determine a distancia entre os pontos A(2;3) B(5;6)​

Answer 1

Olá !

Conforme sugere o enunciado , calcularemos a distância entre os pontos.

$\mathsf{dAB=\sqrt{(X_{B}-X_{A})^{2}+(Y_{B}-Y_{A})^{2}}} \\\\\\ \mathsf{dAB=\sqrt{(5-2)^{2}+(6-3)^{2}}} \\\\\\ \mathsf{dAB=\sqrt{3^{2}+3^{2}}} \\\\\\ \mathsf{dAB=\sqrt{9+9}} \\\\\\\ \mathsf{dAB=\sqrt{18}} \\\\\\ \boxed{\mathsf{dAB=3\sqrt{2}~~u.c}}$

Portanto , a distância é $\boxed{\mathsf{dAB=3\sqrt{2}~~u.c}}$

Espero ter colaborado !!