question_answer

In the given fig-lire, what is the length of the median through vertex C. \[\mathbf{A}\left( \mathbf{1}\mathbf{.1} \right)\mathbf{,}\,\,\mathbf{B}(\mathbf{13},-~\mathbf{5})\] and \[\mathbf{C}\,\mathbf{(5,}-\mathbf{8)}\]

A)  \[2\sqrt{3}\]                             

B)  \[3\sqrt{2}\]           

C)  \[5\sqrt{2}\]                             

D)  \[2\sqrt{5}\]

Correct Answer: D

Solution :

(d): Mid-point of AB (7, 3) \[CD=\sqrt{{{(7-5)}^{2}}+{{(3-(~1))}^{2}}}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5}\]