Question

In ΔABC, D and E are points on the sides AB and AC respectively such that DE || BC

If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.

Answer 1

We have,

AD = 8 cm, AB = 12 cm

∴ BD = AB – AD

= 12 – 8

⇒ BD = 4 cm

And, DE || BC

Therefore, by basic proportionality theorem, we have,

`"AD"/"DB"="AE"/"CE"`

`rArr8/4=12/"CE"`

`rArr"CE"=(12xx4)/8=12/2`

⇒ CE = 6 cm

∴ CE = 6 cm