Question

Calcule a distância entre os pontos A (5,6) e b (2,2)

Answer 1

Boa tarde

d² = (Ax - Bx)² + (Ay - By)²

d² = 3² + 4² = 9 + 16 = 25

d = 5 

Answer 2

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

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

$\Large\displaystyle\text{ \begin{gathered} \sf{ d_{AB}=\sqrt{3^2+4^2} }\end{gathered} }$

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

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

$\Large\displaystyle\text{ \begin{gathered} \therefore\green{\underline{\boxed{\sf{d_{AB}= 5} }}}~~(\checkmark)\end{gathered} }$