Question

Calculando a distância entre os pontos ( 1, 3) e ( 4,7) obtém-se:
5
7
24
13

Answer 1

d=√(xb-xa)²+(yb-ya)²

d=√(4-1)²+(7-3)²

d=√(9)+(16)

d= √25

d= 5 ✓

Answer 2

$\large \boxed{ \begin{array}{lr} \sf{d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{(1 - 4) {}^{2} + (3 - 7 {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{( - 3) {}^{2} + ( - 4) {}^{2} } } \\ \\ \sf{d_{AB} = \sqrt{9 + 16} } \\ \\ \sf{d_{AB} = \sqrt{25} } \\ \\ \boxed{ \boxed{\sf{d_{AB} = 5}}} \end{array}}$