Q1 of 186 Page 184

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


If AB = 13.3 cm, AC = 11.9 cm and EC = 5.1 cm, find AD.

Given: AB = 13.3 cm, AC = 11.9 cm and EC = 5.1 cm.

Applying Thale’s Theorem,



Since we need to find DB first, we add 1 on both sides



⇒


⇒


⇒


⇒


⇒ DB = 5.7


AD is given by,


AD = AB – DB


⇒ AD = 13.3 – 5.7


⇒ AD = 7.6 cm


Hence, AD is 7.6


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

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