Question

Calcule a distância entre os ponto A(3, 7) e B(1, 4)

Answer 1

${(x_{B}-x_{A})}^{2}={(1-3)}^{2}\\={(-2)} ^{2}=4$

${(y_{B}-y_{A})}^{2}={(4-7)}^{2}\\={(-3)} ^{2}=9$

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

$\mathtt{d_{A, B}=\sqrt{4+9}}$

$\huge\boxed{\boxed{\mathtt{d_{A, B}=\sqrt{13}}}}$