The length of the line segment AB where \(A(x_A;\ y_A)\) and \(B(x_B;\ y_B)\)
\(|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\)
We have: \(A(1;\ 6);\ B(11;-4)\)
subtitute
\(|AB|=\sqrt{(1-11)^2+(6-(-4))^2}=\sqrt{(-10)^2+10^2}=\sqrt{100+100}\\\\=\sqrt{100\cdot2}=\sqrt{100}\cdot\sqrt2=10\sqrt2\approx14.1\)
Answer: b. 14.1
