Q1 of 62 Page 180

In a 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, then find CE.


Given DE||BC and AD = 8cm, AB = 12cm and AE = 12 cm

Required: CE = ?


Here, DB = AB—AD = 12—8 = 4cm


Also, DE||BC, ∴ By Thales theorem


∴


⇒


⇒ CE


⇒


∴ CE = 6cm


∴ Length of CE = 6cm


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