Question

Determine a distancia entre os pontos c (-2;-3) d (2;5)​

Answer 1

Olá !

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

$\mathsf{dAB=\sqrt{(X_{B}-X_{A})^{2}+(Y_{B}-Y_{A})^{2}}} \\\\\\ \mathsf{dAB=\sqrt{(2-(-2))^{2}+(5-(-3))^{2}}} \\\\\\ \mathsf{dAB=\sqrt{4^{2}+8^{2}}} \\\\\\ \mathsf{dAB=\sqrt{16+64}} \\\\\\\ \mathsf{dAB=\sqrt{80}} \\\\\\ \boxed{\mathsf{dAB=4\sqrt{5}~~u.c}}$

Portanto , a distância é $\boxed{\mathsf{dAB=4\sqrt{5}~~u.c}}$

Espero ter colaborado !!