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

Answer 1

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