Question

calcule a distancia entre os pontos a(1,1) b(5,7)

Answer 1

Dab = √ (Xb-Xa)² + (Yb-Ya)²
       = √ (5-1)² + (7-1)²
       = √ 4² + 6²
       = √ 16+36
      = √ 52
Dab = 2√13

Answer 2

$\large \boxed{ \begin{array}{l} \sf{\sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } }} \\ \\ \sf{d_{AB} = \sqrt{( 1 - 5) {}^{2} + (1 - 7 {)}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 4) {}^{2} + ( - 6) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{16 + 36} } \\ \\ \sf{d_{AB} = \sqrt{52} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 2 \sqrt{13} }}}\end{array}}$