Question

1. Calcule a distância entre os pontos A e B, sabendo que suas coordenadas são A ( 2,5) e 8 (-5 ,-2)​

Answer 1

$\boxed{\begin{array}{l}\sf Dados~ A(x_A,y_A)~B(x_B,y_B)\\\sf a~dist\hat ancia~entre~A~e~B~\acute e\\\sf d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\end{array}}$

$\boxed{\begin{array}{l}\sf d_{A,B}=\sqrt{(-5-2)^2+(-2-5)^2}\\\sf d_{A,B}=\sqrt{49+49}\\\sf d_{A,B}=\sqrt{49\cdot2}\\\sf d_{A,B}=7\sqrt{2}\end{array}}$