Question

Determine a distância entre os pontos A e B :

a) A(1,7) e B(11,3)​

Answer 1

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{(1 - 11) {}^{2} + (7 - 3) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 10) {}^{2} + 4 {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{100 + 16} } \\ \\ \sf{d_{AB} = \sqrt{116} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 2 \sqrt{29} }}}\end{array}}$