Question

Determine a distância entre os pontos A( -1, 4) e B(3, 2).

Answer 1

$\sf d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$\sf d_{AB}=\sqrt{(3-(-1))^2+(2-4)^2}$

$\sf d_{AB}=\sqrt{(4)^2+(-2)^2}$

$\sf d_{AB}=\sqrt{16+4}$

$\sf d_{AB}=\sqrt{20}$

$\sf d_{AB}=\sqrt{ 2^2\cdot5}$

$\red{\sf d_{AB}=2\sqrt{5}}$