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Question
In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC
If `"AD"/"BD"=4/5` and EC = 2.5 cm, find AE
Solution
We have, DE || BC
Therefore, by basic proportionality theorem,
We have,
`"AD"/"BD"="AE"/"EC"`
`rArr4/5="AE"/2.5`
`rArr"AE"=(4xx2.5)/5`
⇒ AE = 2 cm
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