Question

determinar a distancia entre os pontos a=(5,4) e b=(1,2)

Answer 1

$A~(5~;~4)~~e~~B~(1~;~2)\\\\\\ D_{a,b}= \sqrt{(x_b-x_a)^2+(y_b-y_a)^2} \\\\\\ D_{a,b}= \sqrt{(1-5)^2+(2-4)^2}\to \\\\ D_{a,b}= \sqrt{(-4)^2+(-2)^2} \to \\\\ D_{a,b}= \sqrt{16+4} \to \\\\ D_{a,b}= \sqrt{20} \to \\\\ \large\boxed{D_{a,b}= 2\sqrt{5}}$