Question

Calcule a distancia entre dois pontos. A (4,3)B(8,7)

Answer 1

d²=(4-8)²+(3-7)²

d²=16+16

d²=32

d=4√2

Answer 2

$\large \boxed{ \begin{array}{l} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{(4 -8) {}^{2} + (3 - 7) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 4) {}^{2} + ( - 4) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{16 + 16} } \\ \\ \sf{d_{AB} = \sqrt{32} } \\ \\ \boxed{ \boxed{ \sf{d_{AB} = 4 \sqrt{2} }}}\end{array}}$