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AD is the median of triangle ABC and M is the midpoint of AD.Also BM produced meets AC at N. Prove that AN = 1/3 AC

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by VGbrainly

Diagram would be helpful

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by VGbrainly

Diagram would be helpful

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given AD is median of trng ABC,M is m.p of AD

cont DRAW a DF II BM Produce to E

proof- In trng BCE

D is m.p of BC,

DF II BE [ by m.p.t]

F is m.p of CE

so, FE= FC - 1

now, trng ADC

M is m.p of AD

ME II DF

[by m.p.t]

E is m.p of AF

so , AE=EF -2

BY 1 and 2

AE = EF= FC

SO .AN=1/3 AC