Question

Calcule a distância entre os ponotos A(5.3) B(10.15)

Answer 1

✅ Após resolver os cálculos, concluímos que a distância entre os referidos pontos é:

   $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf d_{AB} = 13\,u.\,c.\:\:\:}}\end{gathered} }$

Sejam os pontos:

                $\Large\begin{cases} A(5, 3)\\B(10, 15)\end{cases}$

Para calcular a distância entre os pontos "A" e "B", fazemos:

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

             $\Large\displaystyle\text{ \begin{gathered} = \sqrt{(10 - 5)^{2} + (15 - 3)^{2}}\end{gathered} }$

             $\Large\displaystyle\text{ \begin{gathered} = \sqrt{5^{2} + 12^{2}}\end{gathered} }$

             $\Large\displaystyle\begin{gathered} = \sqrt{25 + 144}\end{gathered}$

             $\Large\displaystyle\begin{gathered} = \sqrt{169}\end{gathered}$

             $\Large\displaystyle\begin{gathered} = 13\end{gathered}$

✅ Portanto, a distância entre os pontos é:

    $\Large\displaystyle\begin{gathered} d_{AB} = 13\,u.\,c.\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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$\Large\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Observe \:o\:Gr\acute{a}fico!!\:\:\:}}}\end{gathered} }$