Question

A distância entre os pontos H(2,-1) e G(-4,7) é de:
*
1 ponto
10
20
5
15

Answer 1

$\Large\displaystyle\begin{gathered} \tt{d=? } \end{gathered}$

$\Large\displaystyle\text{ \begin{gathered} \tt{ P_1(2{,}-1)\rightarrow\begin{cases}\tt x_1=2\\\tt y_1=-1\end{cases}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{P_2(-4{,}7)\rightarrow\begin{cases}\tt x_2=-4\\\tt y_2=7\end{cases} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2 } }\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{d=\sqrt{(-4-2)^2+(7-(-1))^2} } \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ d=\sqrt{(-6)^2+(8)^2}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ d=\sqrt{36+64} }\end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \tt{ d=\sqrt{100}} \end{gathered} }$

$\Large\displaystyle\text{ \begin{gathered} \boxed{\boxed{\tt{ d=10}}} \end{gathered} }$