Question

Questão 32- Qual é a distância entre os pontos A(5, 8) e B(2, 4)? * 1 ponto a) √13 b) 13 c) √5 d) 5
ajuda por favor​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Dist\hat ancia~entre~dois~pontos}\\\sf Seja~A(x_A,y_A)~B(x_B,y_B).\\\sf a~dist\hat ancia~entre~A~e~B~\acute e~dada~por\\\sf d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\end{array}}$

$\Large\boxed{\begin{array}{l}\sf A(5,8)~B(2,4)\\\sf d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\\sf d_{A,B}=\sqrt{(2-5)^2+(4-8)^2}\\\sf d_{A,B}=\sqrt{9+16}\\\sf d_{A,B}=\sqrt{25}\\\sf d_{A,B}=5\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~d}}}}\end{array}}$