Question

Determine a distância entre os pontos A (5, 2) e B (-1, 3).

Answer 1

(dAB)^2= (-1-5)^2 + (3-2)^2

(dAB)^2= (-6)^2 + (1)^2

(dAB)^2= 36 + 1

dAB= √37

Answer 2

$\mathtt{{(x_{B}-x_{A})}^{2}={(-1-5)}^{2}=36}$

$\mathtt{{(y_{B}-y_{A})}^{2}={(3-2)}^{2}=1}$

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

$\mathtt{d_{A, B}=\sqrt{36+1}}$

$\huge\boxed{\boxed{\mathtt{d_{A, B}=\sqrt{37}}}}$