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Question
In Δ ABC, D and E are points on the sides AB and AC respectively. If AD= 4cm, DB=4.Scm, AE=6.4cm and EC=7.2cm, find if DE is parallel to BC or not.
Sum
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Solution
Sol : `"AD"/"DB" = 4/4.5 = 8/9` ...(1)
`"AE"/"EC" = 6.4/7.2 = 8/9` .....(2)
From (1) and (2)
`"AD"/"DB" = "AE"/"EC"`
∴ DE || BC (By converse of BPT)
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