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 = 6 cm, DB = 9 cm and AE = 8 cm, then find AC.


Given DE||BC and AD = 6cm, DB = 9cm and AE = 8 cm

Required: AC = ?


Here, DE||BC, ∴ By Thales theorem


∴


⇒


⇒


⇒


∴ EC = 12cm


∴ AC = AE + EC = 8 + 12 = 20cm


∴ Length of AC = 20cm


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

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