Question

If A (4,9),B(2,3) and C(6,5) are the vertices of triangle ABC, then the length of the
median through C is ________

Answer 1

Answer:

Correct option is

C

85

units

Given the vertices of △ABC

i.e, A(2,2),B(−4,−4) and C(5,−8)

The coordinates of mid-point of AB,

i.e,D=(

2

−4+2

,

2

−4+2

)=(−1,−1)

hence the length of medium through vertex C=CD

=

(5+1)

2

+(−8+1)

2

=

6

2

+7

2

=

85