Question

Determine a distância entre os pontos A (1,3) e B (-2,1)

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\sf{A(1;3)\Leftrightarrow B(-2;1)}$

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

$\sf{d_{AB} = \sqrt{(1 - (-2))^2 + (3 - 1)^2}}$

$\sf{d_{AB} = \sqrt{(1 + 2)^2 + (3 - 1)^2}}$

$\sf{d_{AB} = \sqrt{(3)^2 + (2)^2}}$

$\sf{d_{AB} = \sqrt{9 + 4}}$

$\boxed{\boxed{\sf{d_{AB} = \sqrt{13}}}}$

Answer 2

$\large\boxed{\begin{array}{l}\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sf d=\sqrt{(-2-1)^2+(1-3)^2}\\\sf d=\sqrt{(-3)^2+(-2)^2}\\\sf d=\sqrt{9+4}\\\sf d=\sqrt{13}\end{array}}$