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If G is the centroid of  ΔABC and BC=5,CA=12,AB=13 then BG=

a
733
b
133
c
2613
d
263

detailed solution

Correct option is C

a=BC=5,b=CA=12,c=AB=13BG=2BE2+1=2BE3BE= length of the median through B= 122a2+2c2-b2=1250+338−144=12244 =61 ∴  BG=2613

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