Question

Calcule a distância entre os pontos A(5,6)e B(-2,6)​

Answer 1

Resposta:

Explicação passo-a-passo:

$\sqrt{(-2-5)^2 + (6-6)^2} = \sqrt{(-7)^2 + 0^2} = \sqrt{49} =7$

Answer 2

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

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{(5-(-2))^2+(6-6)^2}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{7^2+0^2} }\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{49+0}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{49}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \therefore\green{\underline{\boxed{\sf{d_{AB}= 7} }}}~~(\checkmark)\end{gathered} }$