In Triangle ABC. AD is the median through A and E is midpoint of AD.BE is produced to meet AC at F To prove AF=1/3AC
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AD is a median of triangle ABC and E is the mid-point of AD. ... ABC and E is the mid-point of AD. BE produces meets AC at F. Prove that AF=1/3 AC. ... From equations (1) and (2), we get. AF = FG = GC → (3) From the figure we have, AF + FG + GC = AC AF + AF + AF = AC [from (3)] 3 AF = AC AF = (1/3) AC. SME Approved.
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