Odpowiedź :
Odpowiedź:
[tex]|AB|=\sqrt{(2-(-3))^2+(-1-(-4))^2}=\sqrt{5^2+3^2}=\sqrt{25+9}=\sqrt{34}[/tex]
odp:C
Szczegółowe wyjaśnienie:
Wzór
[tex] \sqrt{(x_2 - x_1 {)}^{2} + (y_2 - y_1 {)}^{2} } [/tex]
Oznaczenia
[tex]A = (x_1,y_1) \\ \\ B = (x_2,y_2)[/tex]
[tex] \sqrt{(2 - ( - 3) {)}^{2} + ( - 1 - ( - 4) {)}^{2} } = \\ = \sqrt{(2 + 3 {)}^{2} + ( - 1 + 4 {)}^{2} } = \\ = \sqrt{ {5}^{2} + {3}^{2} } = \\ = \sqrt{25 + 9} = \\ = \sqrt{34} [/tex]
[tex] \boxed {\boxed{Odp.C}}[/tex]