question_answer

Vertices of a triangle ABC are A (2, 2), B (-4, -4) and C (5, - 8). Find the length of the median through C.

A)  \[\sqrt{65}\]                 

B)  \[\sqrt{117}\]

C)  \[\sqrt{85}\]     

D)  \[\sqrt{113}\]

Correct Answer: C

Solution :

(c): \[\left( \frac{-4+2}{2},\frac{-4+2}{2} \right)\] \[CD=\sqrt{{{(5+1)}^{2}}+{{(-8+1)}^{2}}}\] \[\sqrt{36+49}=\sqrt{85}\] unit