Question

Determine a distância entre os pontos A(2, 1) e B(4, -1). *
2,83
3,82
8,23
2,38

Answer 1

A(2,1) B(4,-1)

$\mathsf{d_{A, B}=\sqrt{{(x_{B}-x_{A})}^{2}+{(y_{B}-y_{A})}^{2}}}$

$\mathsf{d_{A, B}=\sqrt{{(4-2)}^{2}+{(-1-1)}^{2}}}$

$\mathsf{d_{A,B}=\sqrt{4+4}}$

$\mathsf{d_{A,B}=\sqrt{2.4}}$

$\mathsf{d_{A,B}=2\sqrt{2}}$

$\mathsf{d_{A,B}=\sqrt{2}\approx1,41}$

$\mathsf{d_{A,B}=2.1,41}$

$\mathsf{d_{A,B}=2,82}$