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If A(2,2),B(-4,-4)a n dC(5,-8) are the v...

If `A(2,2),B(-4,-4)a n dC(5,-8)` are the vertices of a triangle, then the lengthof the median through vertex `C` is.

A

`sqrt(65)`

B

`sqrt(75)`

C

`sqrt(85)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C

By midpoint formula, M will have coordinates (-1, 1) Now by distance formula median `CM = sqrt(85)`
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