Question

Dados os pontos A (3,-2) e B (-1,6), determine a medida do segmento AB.​

Answer 1

$Medida~\overline{AB}~=~Distancia_{A,B}\\\\\\Medida~\overline{AB}~=~\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\\\\\Medida~\overline{AB}~=~\sqrt{(\,3-(-1)\,)^2+(\,-2-6\,)^2}\\\\\\Medida~\overline{AB}~=~\sqrt{(4)^2+(-8)^2}\\\\\\Medida~\overline{AB}~=~\sqrt{16+64}\\\\\\Medida~\overline{AB}~=~\sqrt{2^2~.~2^2~.~5}\\\\\\\boxed{Medida~\overline{AB}~=~4\sqrt{5}~\,unidades~de~comprimento}$