Question

Calcule a distância entre os pontos A(-1,1) e B(4,2)

Answer 1

d=√(-1-4)²+(1-2)² = √(25)+(1) = √26 ✓

Answer 2

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( ( - 1) - 4) {}^{2} + (1 - 2) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 5) {}^{2} + ( - 1) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{25 + 1} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = \sqrt{26}}}} \end{array}}$