Question

Calcule a distância entre os pontos: a) A(3, – 1) e B(3, 5).
b) A(2, 0) e B(0, 1)

Answer 1

Resposta:

Olá bom dia!

A distância entre dois pontos num plano cartesiano é:

$D_{A,B} = \sqrt{(Xb-Xa)^2 + (Yb-Ya)^2}$

a)

$D_{A,B} = \sqrt{(3-3)^2 + (5-(-1))^2}\\\\D_{A,B} = \sqrt{(0)^2 + (6)^2}\\\\D_{A,B} = \sqrt{0+36}\\\\D_{A,B} = \sqrt{36}\\\\D_{A,B} = 6$

b)

$D_{A,B} = \sqrt{(0-2)^2 + (1-0))^2}\\\\D_{A,B} = \sqrt{(-2)^2 + (1)^2}\\\\D_{A,B} = \sqrt{4+1}\\\\D_{A,B} = \sqrt{5}$