Question

Determine a distância entre os pontos :
a) A(-4,-3) e B(0,0)
b) C(-5,4) e D(2,-5)
c) E(√2,-√2) e F(-√2,√2)

Answer 1

A e B =(-4, -3) (0,0)

$Dab^{2}=(Xb - Xa)^{2} + (Yb - Ya)^{2}\\Dab^{2}=(-4 - 0)^{2} +(-3 - 0)^{2}\\Dab^{2}=(-4)^{2}+(-3)^{2} \\Dab^{2}=16 + 9\\Dab =\sqrt{25} \\Dab = 5$

C e D = (-5,4) (2-5)
$Dab^{2}=(Xb - Xa)^{2} + (Yb - Ya)^{2} \\Dab^{2}=(-5 - 2)^{2} +(4 + 5)^{2}\\Dab^{2}=(-7)^{2}+(9)^{2}\\Dab^{2}=49+81\\Dab =\sqrt{130}\\Dab = 11$