Question

Dados A (4,2) e B (12,5), calcule d (A,B)

Answer 1

Utilize a fórmula da Geometria Analítica:

$d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\ \\ d_{AB}=\sqrt{(12-4)^2+(5-2)^2}\\ \\ d_{AB}=\sqrt{8^2+3^2}\\ \\ d_{AB}=\sqrt{64+9}\\ \\ d_{AB}=\sqrt{55}$

Answer 2

$(dAB)^{2} = (12 - 4)^{2} + ( 5 - 3)^{2}=8^{2} + 3^{2} =64 + 9 = 73 ;dAB= \sqrt{73}$