Question

Determine a distância entre os pontos A e B nos seguintes casos:

a) A(3,5) e B(-1,2)
b) A(0,0) e B(3,-1)

Answer 1

$a) a(3,5) ; b(-1,2)\\ \\\\ D_{a,b} = \sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\to \\\\\\ D_{a,b} = \sqrt{(-1-3)^2+(2-5)^2}\to\\ \\ D_{a,b} = \sqrt{(-4)^2+(-3)^2}\to \\\\ D_{a,b} = \sqrt{16+9}\to \\\\ D_{a,b} = \sqrt{25}\to \\\\ D_{a,b} = 5$







$b) a(0,0) ;b(3,-1) \\\\\\D_{a,b} = \sqrt{(x_b-x_a)^2+(y_b-y_a)^2}\to \\\\\\ D_{a,b} = \sqrt{(3-0)^2+(-1-0)^2}\to\\ \\ D_{a,b} = \sqrt{(3)^2+(-1)^2}\to \\\\ D_{a,b} = \sqrt{9+1}\to \\\\ D_{a,b} = \sqrt{10}$