Question

calcule a distância entre dois pontos

A (1,1) e B (9,16)​

Answer 1

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{(1 - 9) {}^{2} + (1 - 16) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 8) {}^{2} + ( - 15) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{64 + 225} } \\ \\ \sf{d_{AB} = \sqrt{289} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 17}}}\end{array}}$