Question

Calcue a distância entre os pontos A e B, sabendo que suas coordenadas são A (5,6) e B (2,2)

Answer 1

Resposta:

S = { 5 }

Explicação passo-a-passo:

Distancia entre 2 pontos A e B:

Ponto A ( 5,6) ponto B ( 2,2)

Dᵃᵇ = √(xb - xa)² + (yb -ya)²

D ab = √( 2 - 5)² + (2 - 6)²

D ab = √ (-3)² + (-4)²

D ab = √ 9 + 16

D ab = √ 25

∴ D ab = 5

S = { 5 }

Answer 2

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

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

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

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

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

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