Question

Calcule a distância entre os pontos A (-2,3) e B (1,5).

Answer 1

$A(-2,3);B(1,5) \\D _{AB} = \sqrt{( x_{b} - x_{a} ) ^{2} +( y_{b} - y_{a} ) ^{2} } \\ D _{AB} = \sqrt{(1 - (-2)) ^{2} +(5 -3 ) ^{2} } \\ D _{AB} = \sqrt{(1+2 ) ^{2} +(5-3 ) ^{2} } \\ D _{AB} = \sqrt{(3 ) ^{2} +(2 ) ^{2} } \\ D _{AB} = \sqrt{9 +4 } \\ D _{AB} = \sqrt{13 } \\ D _{AB} = 3,6$