Question

Calcule a distância entre os pontos, A(8,3) e B(-4,8).

Answer 1

$A(8,3) ;B(-4,8)\\\\\\ D_{a,b}= \sqrt{(x_b-x_a)^2+(y_b-y_a)^2} \to \\\\\\ D_{a,b}= \sqrt{(-4-8)^2+(8-3)^2} \to\\ \\ D_{a,b}= \sqrt{(-12)^2+(5)^2} \to \\\\ D_{a,b}= \sqrt{144+25} \to \\\\ D_{a,b}= \sqrt{169} \to \\\\ D_{a,b}=13$

Answer 2

A = (8,3) e B (- 4, 8)

Da,b = $\sqrt{(xb -xa )^{2} + (yb - ya )^{2} }$

Da,b = $\sqrt{( - 4 - 8 )^{2} + ( 8 - 3 ) ^{2} }$

Da,b = $\sqrt{( - 12 )^{2} + ( 5 ) ^{2} }$

Da,b = $\sqrt{144 + 25 }$

Da,b = $\sqrt{169}$

Da,b = 13