Question

Calcule a distância A(-1,4) B(5,-2)

Answer 1

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

$\mathsf{ d_{AB}=\sqrt{(5-(-1))^2+(-2-4)^2}}$

$\mathsf{ d_{AB}=\sqrt{( 6)^2+(-6)^2}}$

$\mathsf{d_{AB}=\sqrt{36+36} }$

$\mathsf{ d_{AB}=\sqrt{ 72}}$

$\boxed{\boxed{\mathsf{d_{AB}=6\sqrt2 }}}$