Question

Calcule a distância entre os pontos A(1,1) e B(5,4)

Answer 1

d = √(xb - xa)² + (yb - ya)² → √(5 - 1)² + (4 - 1)² →
√(4)² + (3)² → √16 + 9 → √25 → d= 5

Answer 2

$\large \boxed{ \begin{array}{l} \sf{d_{A,B} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{(1 - 5) {}^{2} + (1 - 4) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{16 + 9} } \\ \\ \sf{d_{A,B} = \sqrt{25} } \\ \\ \boxed{ \sf{d_{A,B} = 5}}\end{array}}$