Question

Determine as coprdenadas do ponto mediodo segmento (7,4) (6,5)

Answer 1

✅ Após ter realizado os cálculos, concluímos que o ponto médio do segmento AB é:

            $\large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf M = \Bigg(\frac{13}{2}, \frac{9}{2} \Bigg)\:\:\:}} \end{gathered} }$

Sejam os pontos:

            $\large\begin{cases}A(7, 4)\\B(6, 5) \end{cases}$

As coordenada do ponto médio do segmento AB é:

      $\large\displaystyle\begin{gathered}M = (X_{M}, Y_{M}) \end{gathered}$

            $\large\displaystyle\text{ \begin{gathered}= \Bigg(\frac{X_{A} + X_{B}}{2}, \frac{Y_{A} + Y_{B}}{2} \Bigg) \end{gathered} }$

            $\large\displaystyle\begin{gathered}= \Bigg(\frac{7 + 6}{2}, \frac{4 + 5}{2} \Bigg) \end{gathered}$

            $\large\displaystyle\begin{gathered}= \Bigg(\frac{13}{2}, \frac{9}{2} \Bigg) \end{gathered}$

✅ Portanto, o ponto médio é:

       $\large\displaystyle\begin{gathered}M = \Bigg(\frac{13}{2}, \frac{9}{2} \Bigg) \end{gathered}$

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Solução gráfica: