Question

A distância entre A(3,6) e B(7,9)

Answer 1

$\Large\displaystyle\text{ \begin{gathered}\tt d_{AB}=\sqrt{(x_{B} -x_{A})^{2}+(y_{B} -y_{A})^{2}}\end{gathered} }$

$\Large\displaystyle\begin{gathered}\tt d_{AB}=\sqrt{(7-3)^2+(9-6)^2} \end{gathered}$

$\Large\displaystyle\begin{gathered}\tt d_{AB}= \sqrt{(4)^2+(3)^2}\end{gathered}$

$\Large\displaystyle\begin{gathered}\tt d_{AB}= \sqrt{16+9}\end{gathered}$

$\Large\displaystyle\begin{gathered}\tt d_{AB}=\sqrt{25} \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered}\boxed{\tt d_{AB}=5} \end{gathered} }$