Question

Detetmine a distância entre os pontos A(4,-3) e B(-6,5)

Answer 1

$Distancia=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\\Distancia=\sqrt{(-6-4)^2+(5-(-3))^2}\\\\Distancia=\sqrt{(-10)^2+(5+3)^2}\\\\Distancia=\sqrt{100+(8)^2}\\\\Distancia=\sqrt{100+64}\\\\Distancia=\sqrt{164}\\\\Distancia=\sqrt{2^2\times41}\\\\Distancia=2\sqrt{41}$