Question

Distancia entre os pontos A (1,7) e B (4,3)

Answer 1

Resposta:

Olá boa tarde!

A distância entre dois pontos A e B é dada por:

$Da,b = \sqrt{(Xb-Xa)^2+(Yb-Ya)^2} \\\\Da,b = \sqrt{(4-1)^2+(3-7)^2} \\\\Da,b = \sqrt{3^2+(-4)^2} \\\\\\Da,b =\sqrt{9 + 16} \\\\Da,b = \sqrt{25}$

Da,b = 5

Answer 2

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