✅ Distância entre dois pontos:
Sejam os pontos:
[tex]\large\displaystyle\text{$\begin{gathered}A(2, -3) \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}B(4, 3) \end{gathered}$}[/tex]
Obtendo a distância entre os pontos A e B, temos:
[tex]\large\displaystyle\text{$\begin{gathered}D_{\overline{AB}} = \sqrt{(X_{B} - X_{A} )^{2} + (Y_{B} - Y_{A} )^{2}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}= \sqrt{(4 - 2)^{2} + (3 - (-3))^{2} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}= \sqrt{2^{2} + 6^{2} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}= \sqrt{4 + 36} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}= \sqrt{40} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}= 2\sqrt{10} \end{gathered}$}[/tex]
✅ Portanto:
[tex]\large\displaystyle\text{$\begin{gathered}D_{\overline{AB}} = 2\sqrt{10} \end{gathered}$}[/tex]
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