Question

Calcule a distância entre pontos.A(2,4)eB(5,1)

Answer 1

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{(2 - 5) {}^{2} + (4 - 1) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 3) {}^{2} + 3 {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{9 + 9} } \\ \\ \sf{d_{AB} = \sqrt{18 \: } } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 3 \sqrt{2} }}}\end{array}}$