Question

. If A (2, 2), B(-4,-4) and C (5, -8) are the vertices of ABC, then the length of the median through C is ... units. A. √165 B. √117 c. √785 D. √113​

Answer 1

Step-by-step explanation:

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

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