[tex]A(3,0)[/tex]
[tex]B(1,2\sqrt{3})[/tex]
[tex]x_{A} = 3[/tex]
[tex]y_{A} = 0[/tex]
[tex]x_{B} = 1[/tex]
[tex]y_{B} = 2 \sqrt{3} [/tex]
[tex]AB=\sqrt{{(x_{B}-x_{A})}^{2}+{(y_{B}-y_{A})}^{2}}[/tex]
[tex]AB = \sqrt{ {(1 - 3)}^{2} + {(2 \sqrt{3} - 0) }^{2} } [/tex]
[tex]AB = \sqrt{ {( - 2)}^{2} + {(2 \sqrt{3} )}^{2} } [/tex]
[tex]AB = \sqrt{4 + 12} [/tex]
[tex]AB = \sqrt{16} [/tex]
[tex]AB = 4 \: cm[/tex]
[tex] = > C. \: 4[/tex]
