Question

Calcular a distância entre os pontos A=(a+1,a+2) e B=(a,a-1)

Answer 1

$\Large\boxed{\begin{array}{l}\sf A(a+1,a+2),B(a,a-1)\\\sf d_{A,B}=\sqrt{(a-(a-1))^2+(a-1-(a+2))^2}\\\\\sf d_{A,B}=\sqrt{(\diagdown\!\!\!a-\diagdown\!\!\!a+1)^2+(\diagdown\!\!\!\!a-1-\diagdown\!\!\!\!a-2)^2}\\\sf d_{A,B}=\sqrt{(1)^2+(-3)^2}\\\sf d_{A,B}=\sqrt{1+9}\\\sf d_{A,B}=\sqrt{10}\end{array}}$